Associative rings
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Publication:5904547
DOI10.1007/BF01097781zbMath0446.16002OpenAlexW4211123391MaRDI QIDQ5904547
Yu. M. Ryabukhin, V. A. Andrunakievich, I. M. Goyan, V. I. Arnautov
Publication date: 1980
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01097781
group ringsrings of fractionsrings with polynomial identitiesextensions of ringssurvey on rings and modulestheory of radicals
Related Items
Cites Work
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- A note on noncrossed products
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- On the hereditariness of the upper radical
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- Two classes of rings generated by their units
- Über die Kerne von Blöcken einer Gruppenalgebra
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- On rings with central polynomials
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- Some subalgebra theorems
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- A sheaf theoretic representation of rings with Boolean orthogonalities
- On a new radical in a topological ring
- A new radical for group rings?
- Homomorphisms of commutative rings with unit element
- Homomorphisms of matrix rings into matrix rings
- Rings of quotients of \(\Phi\)-algebras
- Linear semiprime \((p;q)\) radicals
- Intrinsic functions on complex semisimple algebras
- Subgroups and conjugates in semi-prime rings
- Primes in products of rings
- On a representation of a strongly harmonic ring by sheaves
- Topologies for quotient fields of commutative integral domains
- Polynomial rings over finite dimensional rings
- Strong radical properties of alternative and associative rings
- Structure of right subdirectly irreducible rings. I
- Some number theoretic results
- On special \(^ *\)-regular rings
- Structure of rings satisfying certain polynomial identities
- Sur les extensions quadratiques des corps non commutatifs
- Embedding finite groups in rational division algebras. I
- Embedding finite groups in rational division algebras. II
- Group algebras
- Conditions which imply that subrings of semiprimary rings are semiprimary
- Self-injective group ring
- Prime rings having one-sided ideal with polynomial identity coincide with special Johnson rings
- On a topology for a Galois system of fields and automorphisms
- Skew polynomial rings over semi-simple rings
- Finite rings with a specified group of units.
- Orders in QF and QF 2 rings
- A generalization of commutative and associative rings
- A note on the prime radical
- On the relationship of a ring and the subring generated by its symmetric elements
- Erweiterung topologischer Halbringe durch Quotienten- und Differenzenbildung. (Extensions of topological semirings by quotient and difference constructions)
- Integral group rings of finite groups
- Nil subrings with bounded indices of nilpotency
- Anneaux tordus de groupes comme des anneaux de Hilbert. (Twisted group rings as Hilbert rings)
- Group rings satisfying a polynomial identity
- An example in PI-rings
- The skeleton of a perfect ring
- Semi-orthogonality in Rickart rings
- Localization in PI-rings
- Locally compact commutative artinian rings
- Radicals coinciding with the Jacobson radical on linearly compact rings
- A singular submodule and a singular ideal
- Anelli Henseliani topologici. (Topological Henselian rings)
- Anelli Henseliani topologici. II. (Topological Henselian rings)
- Finite chain rings
- On Classical Quotients of Polynomial Identity Rings with Involution
- On Semiprime P.I. Rings
- An analogue of lubeseder's theorem for formations of finite rings
- Eine Verallgemeinerung eines Satzes von Kurata.
- The Group of Units of the Integral Group Ring ZS3
- A Class of Partially Ordered Linear Algebras
- Embedding Rings with a Maximal Cone and Rings with an Involution in Quaternion Algebras
- Semigroup Rings and Semilattice Sums of Rings
- Regularity of Semilattice Sums of Rings
- The free product of skew fields
- The hereditariness of the upper radical
- The Poset of Skew Fields Generated by a Free Algebra
- Right Invariant Right Hereditary Rings
- Homomorphisms of Rings with Involution
- Chain Conditions in Rings with Involution†
- Pseudo-ordered fields
- Some torsion-free group rings with nilpotent prime radicals
- A note on extensions of Baer and P. P. -rings
- Regular Self-Injective Rings With a Polynomial Identity
- On a Multiplication Decomposition Theorem in a Dedekind σ-Complete Partially Ordered Linear Algebra
- A Subdirect Decomposition of Semiprime Rings and its Application to Maximal Quotient Rings
- Remarks on my paper “The radical property of rings such that every homomorphic image has no nonzero left annihilators”
- NILPOTENT SEMIPRINCIPAL RINGS
- Coalgebraic Coalgebras
- Uniqueness of the Coefficient Ring in Some Group Rings
- Finite Rings in Which 1 is a Sum of Two Non-p-thPower Units
- Chain Conditions on Symmetric Elements
- Rings with Involution all of whose Symmetric Elements are Nilpotent or Regular
- On Subdirect Products of Rings without Symmetric Divisors of Zero
- Ore Extensions and Polycyclic Group Rings
- Product of Ring Varieties and Attainability
- Normal radicals of endomorphism rings of free and projective modules
- The radical property of nonassociative rings such that every homomorphic image has no nonzero left annihilating ideals
- A primitive group ring
- Existence of Krull Dimension in Group Rings
- A Non-Singular Noetherian Ring need not Have a Classical Quotient Ring
- Nonsingular rings with essential socles
- The hulls of semiprime rings
- Nil and Power-Central Polynomials in Rings
- Discrete structure spaces of ƒ-rings
- Right Orders in Full Linear Rings
- Units and One-Sided Units in Regular Rings
- On strongly regular rings
- Direct sum of strongly regular rings and zero rings
- Some Commutativity Results for Rings with Two-Variable Constraints
- Algebras with a separable subalgebra whose centralizer satisfies a polynomial identity
- PI-Algebras Satisfying Identities of Degree 3
- The krull radical
- The Additive Ideals of a P -Ring
- A Singular Primitive Ring
- The radical equation P(An) = (P(A))n
- On the Isomorphism of Group Algebras of Groups of Order 8Q
- Rings with No Nilpotent Elements and with the Maximum Condition on Annihilators
- A characterization of locally compact fields II
- On the Lower Central Factors of a Free Associative Ring
- On submodules over an Asano order of a ring
- On a theorem of chatters1
- The solution of a problem on upper radicals of rings
- A second almost subidempotent radical for rings. To the memory of Professor OTTÓ VARGA (1909–1969)
- Twisted Group Algebras which are Artinian, Perfect or Self‐Injective
- Construction d'algèbres normales simples.
- Upper Triangular Rings, Ideals, and Catalan Numbers
- On semi-simple radical classes
- Fields of Fractions for Group Algebras of Free Groups
- Split Subdirect Products and Piecewise Domains
- p -Rings Whose Only Right Ideals are the Fully Invariant Subgroups
- Prime regular rings of quotients
- Simple Noetherian Rings need not have Unity Elements
- A Note on Lie Isomorphisms
- On ∗ -Rings Satisfying the Square Root Axiom
- Unequivocal Rings
- The Structure of f‐Algebras
- Applications of Graph Theory to Matrix Theory
- On the lower radical construction
- Topologies on the rational field
- A Characterization of the n × n Matrices Over a Finite Field
- On the Applications of Coalgebras to Group Algebras
- Note on the results of I. N. Herstein and A. Ramer
- Rational critical points of the reduced norm of an algebra
- Polynomial Ideals in Group Rings
- Right-Bounded Factors in an LCM Domain
- Rings Whose Ideals Form a Chain
- Multilinear Identities of the Matrix Ring
- Prime ideals in Noetherian 𝑃𝐼-rings
- Fully Idempotent Rings Have Regular Centroids
- Structure of Rings with Involution Applied to Generalized Polynomial Identities
- Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
- Representation and extension of semiprime rings
- Some finitely based varieties of rings
- Shorter Notes: A Simple Proof of a Theorem of Albert
- Zero divisors in group rings
- On normalizers of simple ring extensions
- Group Rings of Finite Representation Type.
- A Note on Compactifying Artinian Rings
- A Remark on the Units of Finite Order in The Group Ring of a Finite Group
- The word problem for division rings
- Polynomial algebras. II. Commutation relations
- A Ring of Quotients for Group Rings which is Easy to Describe
- Hereditary Prime P.I. Rings are Classical Hereditary Orders†
- Sub-prime radical classes determined by zerorings
- Regular Elements in Rings with Involution
- On Rings with Involution
- Standard Polynomials in Matrix Algebras
- The Class of Rings Embeddable in Skew Fields
- A generalization of Clifford algebras
- On the Complete Ring of Quotients
- Localisations dans les ordres maximaux
- Quelques proprietes des localisations
- Radical embedding, genus, and toroidal derivations of nilpotent associative algebras
- Radicals of group rings
- On Von Neumann Regular Rings
- Maximal Quotients of Semiprime PI-Algebras
- The Polynomial Identities of the Grassman Algebra
- Commutativity in Finite Rings
- Localization in Semifirs
- The word problem for free fields
- Generalisations of nilpotency of rings
- The Regular Ring and the Maximal Ring of Quotients of a Finite Baer *-Ring
- A Note on Division Algebras
- A Remark on the Commutativity of Certain Rings
- Completely Outer Groups of Automorphisms Acting on R/J(R)
- Untersuchungen von S‐Ringen, insbesondere im Gruppenring von p‐Gruppen
- Passman-Zalesskii Radical of group algebras
- The Brown-Mccoy Radical of Certain Group Algebras
- On some infinitely presented associative algebras
- The Semigroup of Ideals of a Fir is (Usually) Free
- Multiple Idealizers and Hereditary Noetherian Prime Rings
- A note on strong radicals
- Rings with Involution in which Every Trace is Nilpotent or Regular
- On Sasiada's Ring
- Group Rings and Lower Central Series
- Symmetric Elements in Free Powers of Rings
- A Note on the Adjoint Group of a Finitely Generated Radical Ring
- On Internal Constructions of Radicals in Rings
- On Co-Noetherian Rings
- Enumerating Finite Rings
- Ideals in Abelian Group-Rings
- Tensor Products of Polynomial Identity Algebras
- p.p Rings and Finitely Generated Flat Ideals
- The Centres of 2-Firs and Hereditary Rings
- Groups Acting on Hereditary Rings
- Localisation in PI -Rings
- On the Radical of the Centre of a Group Algebra
- Complemented hereditary radicals
- Localization in a Principal Right Ideal Domain
- A Note on Prime Rings with Polynomial Identities
- Polynomial Identity Algebras with Involution
- On the Brauer-Speiser theorem
- On One Sided Ideals of a Prime Type
- Rings in which ideals are annihilators
- Generalizations of QF-3 Algebras
- Conditions which imply that subrings of artinian rings are artinian.
- On Perfect Group Rings
- On the Primitivity of the Group Algebra
- Overrings of Principal Ideal Domains
- Rings of Fractions
- Hereditary Radical Ideals in a Ring
- Rings with the Contraction Property
- On Prime One-Sided Ideals
- Quotient Rings of Group Rings
- On the Tertiary Decomposition
- On Quasi‐Artinian Rings
- Loewy Length of Perfect Rings
- Certain Artinian Rings are Noetherian
- Special (p;q) Radicals
- Normability of Certain Topological Rings
- Representation of Algebras with Involution
- The Restricted Minimum Condition in Noetherian Hereditary Rings
- Quotient Full Linear Rings
- Radicals of Twisted Group Rings, II
- On Class Sums in p-Adic Group Rings
- Rings Defined by ℛ-Sets and a Characterization of a Class of Semiperfect Rings
- Rings with a few more zero-divisors
- Block idempotents and the Brauer correspondence
- Idempotents in Group Rings
- The Embedding of Firs in Skew Fields
- Bounded Asano Orders are Hereditary
- On Prime Rings with Ascending Chain Condition on Annihilator Right Ideals and Nonzero Infective Right Ideals
- On Functional Representations of a Ring without Nilpotent Elements
- Ideals in the Modular Group Ring of a p-Group
- The Embedding of Radical Rings in Simple Radical Rings
- On Commutative and Central Conditions on the Jacobson Radical of the Group Algebra of a Group II
- Coherence of Polynomial Rings over Semisimple Algebraic Algebras
- Embedding Free Algebras in Skew Fields
- On the Ring of Quotients at a Prime Ideal of a Right Noetherian Ring
- Regular Rings and Integral Extension of a Regular Ring
- A commutativity theorem for primary rings
- More Properties Inherited by the Lower Radical
- Unique Factorization Monoids and Domains
- Die Nichtkompaktheit der Klasse der Archimedisch Geordneten Körper
- Nil Subrings in Finiteness Conditions
- Non-local rings whose ideals are all quasi-injective
- Properties of Quotient Rings
- Semi-Prime Right Goldie Rings which are Direct Sums of Uniform Right Ideals
- Äquivalenzrelation für die charakterisierung des jacobsonschen radikals
- On a Condition for Commutativity of Rings
- Overrings of Bezout Domains
- Right Quotient Rings of a Right LCM Domain
- Primitive group rings
- Subdirectly Irreducible DQC Rings
- On the Radical of the Group Algebra of a p-Group Over a Modular Field
- Idempotents in Noetherian Group Rings
- Group Rings with Only Trivial Units of Finite Order
- Local Rings with Left Vanishing Radical
- A Note on Radicals and Polynomial Rings.
- Noetherian $\mathrm{QF}-3$ rings and two-sided quasi-Frobenius maximal quotient rings
- Existence of polynomial identities in $A \otimes \,_F B$
- Convenient categories of topological algebras
- A Note on Dedekind Prime Rings
- A note on commutative Baer rings
- Automorphisms of a free associative algebra of rank 2
- A note on Artinian subrings
- A quadratic extension
- Subgroups of Central Separable Algebras
- Prime Ideals in Regular Self-Injective Rings
- On the notion of algebraic closedness for noncommutative groups and fields
- Radicals and Bimodules
- Continuous Multiplications in R<sup>2</sup>
- Openly embedding local noetherian domains.
- A note on locally uniform rings and modules
- On Self-Injective Group Rings
- Rings Satisfying Monomidal Identities
- Structure of Rings Satisfying Certain Identities on Commutators
- On potent rings, I
- A Coefficient Ring for Finite Noncommutative Rings
- A remark on the meet decomposition of ideals in noncommutative rings
- Closed Prime Ideals in Topological Rings
- Embedding a Partially Ordered Ring in a Division Algebra
- A Note on Embedding a Partially Ordered Ring in a Division Algebra
- Divinsky's Radical
- On intersections and unions of radical classes
- The radical property of rings such that every homomorphic image has no nonzero left annihilators
- The Kernel of a Block of a Group Algebra
- Radicals of abelian groups and associative rings
- Some remarks on radicals of rings with chain conditions
- Rings with Fixed-Point-Free Group Actions
- An Embedding Theorem for Commutative Lattice-Ordered Domains
- Orders in semilocal rings
- Local Group Rings
- Algebraic Algebras with Involution
- On smallest radical and semi-simple classes
- Structure and embedding theorems for unique normal decomposition lattices
- Logical connections between some open problems concerning nil rings
- On the Ring of Quotients of a Group Ring
- Minimal Ideals in Group Rings
- Group Rings Satisfying a Polynomial Identity. III
- On the Dimension of Group Rings
- Ideaux a droite maximaux d'un anneau
- Chain Type Decomposition in Integral Domains
- Definitions of integral elements and quotient rings over non-commutative rings with identity
- On the Structure of Semiprime Rings
- Rings with Involution Whose Symmetric Elements are Regular
- On a theorem of K. Baumgartner
- Representations of algebras by continuous sections
- On the locally antisimple radical
- Idealtheorie der offen einbettbaren kommutativen topologischen Ringe.
- Weakly Regular Rings
- Einer Engelbedingung genügende Ringe.
- A note on commutative Baer rings
- Rings in Which Pure Ideals are Generated by Idempotents.
- Maximal Quotient Rings and S-Rings
- A Note on Zero Divisors in Group-Rings
- Some Results on Semi-Perfect Group Rings
- On strongly regular ring
- A Note on Non-Commutative Noetherian Rings
- On Commutative Subrings of Infinite Rings
- Quotient Rings of a Class of Lattice-Ordered-Rings
- On the Number of Field Topologies on an Infinite Field
- On two-sided artinian quotient rings
- Some Associativity Conditions for Algebras
- The Integral Group Rings of Hypercentral Groups
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- On Small's Theorem
- Strict Radical Classes of Associative Rings
- A Note on Group Rings of Certain Torsion-Free Groups
- Über G-galoissche Erweiterungen einfacher Ringe.
- Existence of Locally Unbounded Topological Fields, and Field Topologies Which are not the Intersection of Bounded Ring Topologies
- Group algebras of some generalised soluble groups
- Right orders in full linear rings
- A note on the radical of row-finite matrices
- Involutorial Division Rings with Arbitrary Centers
- Non-Noetherian Rings for which Each Proper Subring is Noetherian.
- A Note on Generalized Polynomial Identities
- On Non-Commutative Splitting Rings
- Regular and Baer Rings
- Maximal Regular Right Ideal Space of a Primitive Ring
- Strongly Hereditary Radical Classes
- Some radical constructions for associative rings
- Radical behavior and the Wedderburn family
- On (von Neumann) regular rings
- A new proof of litoff's theorem
- Some results on the center of a ring with polynomial identity
- A Note on Non-Commutative Localisation
- On the units of a modular group ring
- Lösung von Problemen und Verallgemeinerung von Sätzen aus der Theorie des Jacobsonschen Radikals
- A generalization of a theorem of Wedderburn
- Galois subrings of Ore domains are Ore domains
- On the Semisimplicity of Group Rings of Solvable Groups
- N-Series and Filtrations of the Augmentation Ideal
- A note on commutative Baer rings III
- Elements Nilpotents Et Diviseurs de Zero Dans Les Algebres Larges
- The zero divisor question for supersolvable groups
- A Problem of Passman on Semisimplicity
- Prime von Neumann Regular Rings and Primitive Group Algebras
- A Decomposition Theorem for Noetherian Hereditary Rings
- A Property of Projective Ideals in Semigroup Algebras
- Some Remarks on Computable (Non-Archimedean) Ordered Fields
- Automorphisms of a Free Associative Algebra of Rank 2. II
- Equationally Compact Artinian Rings
- Lösung Eines Problems Bezüglich der Modularen Rechtsideale
- On Galois theory of central separable algebras over Artinian rings
- Bounded Hereditary Noetherian Prime Rings
- On the construction of the Kurosh lower radical class for associative rings
- Pi-Rings with Zero Singular Ideal
- Some Almost Simple Rings
- Die Ringe mit einem Unterring, der mit allen Unterringen vergleichbar ist.
- Topological Rings of Quotients
- Ring topologies of type n on fields
- The Additive Group of Commutative Rings Generated by Idempotents
- Non-Commutative Rings whose Homomorphic Images are Self-Injective
- A note on a problem of F. Szász
- On Isomorphisms of Abelian Group Algebras
- Tensor Products of Quaternion Algebras
- A Characterization of Noncommutative Quaternion Rings
- Regular P.I.-Rings
- Matrix rings over polynomial identity rings
- Group rings, matrix rings, and polynomial identities
- Maximal Regular Right Ideal Space of a Primitive Ring. II
- Further characterizations for the Jacobson radical of a ring
- Strongly Hereditary Complements of Radical Classes
- On the Dimension of Group Rings
- Lie Solvable Group Rings
- On the Central Series of a Ring
- Note on right-regular-ideal-rings
- Inversive localization in noetherian rings
- Prime Rings with Involution Whose Symmetric Zero-Divisors are Nilpotent
- Structure of Semiprime P.I. Rings
- Subrings of Noetherian Rings
- Central Localizations of Regular Rings
- A supernilpotent non-special radical class
- The Nil Radical of a Ring with Krull Dimension
- Rings Satisfying Monomial Constraints
- Commutative Subalgebras of Infinite Dimensional Algebras
- Die F<scp>RATTINI</scp>schen Unterstrukturen in Ringen ohne Einselement
- Sur Les Anneaux de Groupes Semi-Parfaits
- Artinian quotient rings of group rings
- Centralizers in rings
- A commutativity theorem
- A remark on a paper of F. A. Szasz
- On maximal subalgebras
- Strong heredity in radical classes
- Note on the integral group ring problem
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- Zero Divisors in Tensor Products of Division Algebras
- Associative rings of order $P^3$
- The Coefficient Ring of a Primitive Group Ring
- The Jacobson Radical of the Group Ring of a Generalised Free Product
- Shorter Notes: Artinian Ideals in Noetherian Rings
- On Normal Radicals
- Isomorphe Gruppenringe lokal endlicher Gruppen.
- The Coincidence of Idealizer Subrings
- Noetherian Ore Extensions and Jacobson Rings
- Order in a Special Class of Rings and a Structure Theorem
- Artinian Principal Ideal Rings Without Identities
- Groups with Faithful Blocks
- Complete and Orthogonally Complete Rings
- Anneaux de fractions classiques dans les r-ordres maximaux
- Complements a mon article “anneaux de fractions classiques dans les ordres maximaux”
- STRONG UPPER RADICALS
- Structure of a Certain Class of Rings with Involution
- Note on strongly regular rings and $P_1$-rings
- A Note on Symmetric Functions in Formanek Polynomials
- The Weyl Algebra-Semisimple and Nilpotent Elements
- The group algebra of a torsion-free one-relator group can be embedded in a field
- Krull Dimension and Gabriel Dimension of Idealizers of Semimaximal Left Ideals
- Pierce sheaves of non-commutative rings
- Semi-Prime Twisted Group Rings
- Über Ringe Mit Minimalbedingung Für Hauptrechtsideale
- Finite Dimensional Group Rings
- Azumaya algebras and rings with polynomial identity
- Über Automorphismen und Derivationen von Ringen.
- Some characterizations of semisimple rings with minimum condition on rpincipal left ideals
- Hintereinanderausführung von Formen.
- Augmentation Powers of Locally Finite Groups
- On a Result of Faith
- Abschließungsoperatoren für Lineartopologien NOETHERscher Ringe
- Semigroups in rings
- Strong Radical Classes and Idempotents
- A Property for Inverses in a Partially Ordered Linear Algebra
- On the geaded ring associated with an integral group ring
- Certain Submodules of Simple Rings with Involution, II
- On a Minimal Chain of Iterated Idealizers From an HNP-Ring
- Isomorphic Group Rings
- Essential Extensions and Intersection Theorems
- An extension of a theorem of Schur
- Über Ringe mit eingeschränkter Minimalbedingung höherer Stufe für Rechtsideale. I
- ON THE NUMBER OF INDECOMPOSABLE INTEGRALp-ADIC REPRESENTATIONS OF CROSSED GROUP RINGS
- A Matrix Representation for Associative Algebras. I
- Strongly Prime Rings
- ON COUNTABLY GENERATED LOCALLY $ \mathfrak{M}$-ALGEBRAS
- On automorphisms of endomorphic rings of a vector space
