Quotient rings
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Publication:2545911
DOI10.1007/BF02306727zbMath0216.06402OpenAlexW3189223153MaRDI QIDQ2545911
Publication date: 1971
Published in: Algebra and Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02306727
Ore rings, multiplicative sets, Ore localization (16U20) Rings of fractions and localization for commutative rings (13B30) Associative rings and algebras arising under various constructions (16S99)
Cites Work
- Non-commutative principal ideal rings
- Theory of non-commutative polynomials
- Quasi-injective modules and their endomorphism rings
- Quotient rings and direct products of full linear rings
- On a theorem of Goldie
- Der Satz von Artin-Wedderburn und der Satz von Goldie
- Free ideal rings
- Dedekind domains and rings of quotients
- Klassische Quotientenringe von nicht notwendig endlich-dimensionalen, halbprimen Ringen
- Remarks on a paper of Procesi
- Atomic quasi-injective modules
- Endomorphisms of modules over semi-prime rings
- Orders in Artinian rings
- Localization in non-commutative Noetherian rings
- On orders in quasi-Frobenius rings
- Anneaux réduits non commutatifs
- A note on noncommutative localization
- Two properties of associative rings
- Lectures on injective modules and quotient rings
- Quotient rings of rings with zero singular ideal
- On general theory of quotient rings
- Rings with dense quasi-centre
- Coeur d'un module
- Unique factorization in algebraic function fields
- Zur Theorie des nichtkommutativen Polynombereichs und Quotientenrings
- Über die Quotientenbildung von Schiefringen
- The Structure of Prime Rings Under Ascending Chain Conditions
- On a theorem on modular lattices
- A Generalized Ring of Quotients I
- On the Ring of Quotients of a Boolean Ring
- Self-Injective Rings
- Semi-Prime Rings with Maximum Condition
- On Rings with One-Sided Field of Quotients
- Properties of Primary Noncommutative Rings
- Reflective Rings with the Ascending Chain Condition
- Quasi-Injective Modules and Irreducible Rings
- On the Embedding of Rings in Skew Fields
- Quadratic Extensions of Skew Fields
- On the Structure of Semi-Prime Rings and their Rings of Quotients
- Torsion-Free and Divisible Modules Over Non-Integral-Domains
- On Utumi's Ring of Quotients
- On Rings of Which Any One-Sided Quotient Rings are Two-Sided
- Preface to the English translation
- Matrices with elements in a principal ideal ring
- Über Halbringe und Halbkörper. I
- Quotient Extensions of Modules
- A Note on a Self Injective Ring
- On Ring Properties of Injective Hulls1)
- A Note on a Certain Class of Prime Rings
- Overrings of Commutative Rings. II. Integrally Closed Overrings
- Rings of algebraic numbers and functions
- Lattice-Ordered Rings of Quotients
- Quotient Rings with Minimum Condition on Right Ideals
- HEREDITARY RINGS
- Prime Rings with Maximal Annihilator and Maximal Complement Right Ideals
- Prime Matrix Rings
- Noncommutative Unique Factorization Domains
- A characterization of 𝑄-domains
- On the Class of Rings which do not Contain Nonzero Semi-Singular Ideals
- Rings with Zero Right and Left Singular Ideals
- On the Ring of Quotients of a Noetherian Ring
- On some questions in Noetherian rings
- On One-Sided Ideals which are Prime Rings
- On Continuous Rings and Self Injective Rings
- Potent Rings
- A Note on Non-Commutative Polynomial Rings Subject to Degree-Preservation
- On Prime J-Rings with Uniform One-Sided Ideals
- A Generalization of Divisibility and Injectivity in Modules
- On maximal nilpotent subrings of right Noetherian rings
- A Counterexample to a Conjecture of D.F. Sanderson
- Rings in Which Finitely Generated Right Ideals are Principal†
- Artinian Quotient Rings†
- On Very Large One Sided Ideals of a Ring
- Semisimple Maximal Quotient Rings
- A Non-Trivial Ring with Non-Rational Injective Hull
- Prime Rings Having Polynomial Identities with Arbitrary Coefficients
- On Noetherian Prime Rings
- Orders in Simple Artinian Rings
- Quotient Rings of Rings with Maximum Condition for Right Ideals†
- Zur Erweiterung algebraischer Strukturen durch Rechtsquotientenbildung
- Prime Rings Satisfying a Polynomial Identity
- Unique Subdirect Sums of Prime Rings
- Quotalringe und ihre Anwendungen
- A note on rings of which any one-sided quotient rings are two-sided
- On Ring Extensions for Completely Primary Noncommutative Rings
- On Crossed Products of a Sfield
- Subrings of the Maximal Ring of Quotients Associated With Closure Operations
- On Maximal Rings of Right Quotients
- Injective Structures
- The Ring of Endomorphisms of a Torsion-Free Module
- On a certain classification of rings and semigroups
- On Ordered Division Rings
- Elementary Divisors and Modules
- A note on least common left multiples
- Embedding Non-Associative Rings in Division Rings
- The Extended Centralizer of a Ring Over a Module
- On the Embedding of Birkhoff-Witt Rings in Quotient Fields
- On the notion of the ring of quotients of a prime ideal
- Vector spaces over rings
- On Rings with Identities
- Integral domains with quotient overrings
- Intrinsic extensions of rings
- Integral domains with quotient overrings
- Endomorphism rings of torsionless modules
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