Skew-injective modules

DOI10.1007/BF02169101zbMath0941.16002OpenAlexW2044608230WikidataQ114233877 ScholiaQ114233877MaRDI QIDQ1807490

Askar A. Tuganbaev

Publication date: 22 November 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02169101

zbMATH Keywords

surveyregular ringsmaximal submodulesmaximal quotient ringsskew-injective hullsskew-injective modulesskew-projective coversskew-projective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items

Extending and lifting of endomorphisms and automorphisms of modules over non-primitive HNP rings

Cites Work

• Rings whose (proper) cyclic modules have cyclic \(\pi\)-injective hulls
• Pseudo projective and pseudo injective modules
• Extending modules over commutative domains
• The structure of extending modules over noetherian rings
• Right self-injective rings whose essential right ideals are two-sided
• The maximal regular ideal of self-injective and continuous rings splits off
• Quasi-projective modules over hereditary Noetherian prime rings
• Torsion free extending modules
• Modules over endomorphism rings. II
• Continuous modules and quasi-continuous modules
• Distributive rings and endodistributive modules
• Distributive rings of series
• Commutative rings for which every continuous module is quasi-injective
• Strongly semiprime rings and nonsingular quasi-injective modules
• Baer rings and quasi-continuous rings have a MDSN
• On extending property on direct sums of uniform modules
• Semiperfect rings whose proper cyclic modules are continuous
• On modules with extending properties
• Self mini-injective rings
• Cyclic modules whose quotients have all complement submodules direct summands
• Self-projective modules with \(\pi\)-injective factor modules
• Sur les anneaux tels que tout produit de copies d'un module quasi- injectif soit un module quasi-injectif
• On hereditary rings and Boyle's conjecture
• Rings with quasi-projective left ideals
• Sur les anneaux tels que tout produit de copies d'un module quasi- injectif soit un module quasi-injectif. - II
• Rings whose proper cyclic modules are quasi-injective
• Decomposing modules into projectives and injectives
• A note on continuous rings
• Rings of endomorphisms and distributivity
• Left and right distributive rings
• Distributive semiprime rings
• Rings over which certain modules are injective
• Lifting modules, extending modules and their applications to generalized uniserial rings
• Lifting modules, extending modules and their applications to QF-rings
• On endomorphism rings of quasiprojective modules
• Quasi-injective modules and their endomorphism rings
• Baer modules
• Commutative rings whose homomorphic images are self-injective
• Atomic quasi-injective modules
• Rings all of whose finitely generated modules are injective
• On quasi projectives
• Noncommutative rings whose cyclic modules have cyclic injective hulls
• Note on quasi-injective modules
• Rings for which every cyclic module is quasi-projective
• Characterization of rings using quasiprojective modules
• Semilocal q-rings
• On quasi-projective modules via relative projectivity
• Rings in which every right ideal is quasi-injective
• Quasi-projectives in abelian and module categories
• Anneau associé à une somme directe infinie de modules quasi- injectifs. (The associative ring of an infinite direct sum of quasi- injective modules)
• Semi-perfect \(q\)-rings
• On direct modules
• On quasi-injective modules with a chain condition over a commutative ring
• Supplementary remarks on categorie s of indecomposabl e modules
• On endomorphism rings of Noetherian quasi-injective modules
• Continuous Rings with Acc on Essentials are Artinian
• Weak q-Rings with Zero Singular Ideal
• q-Hypercyclic Rings
• On Continuous Regular Rings and Semisimple Self Injective Rings
• Quasi-Injective Modules and Irreducible Rings
• Rings all of whose torsion quasi-injective modules are injective
• On continuous semiprimary rings
• Modules with chain conditions on superfluous submodules
• Small-injective rings
• On Quasiprojective Covers
• Dual continuous modules over commutative noetherian rings
• A Right PCI Ring is Right Noetherian
• Endomorphism Rings of Modules over non-singular CS Rings
• Cocritically nice rings and boyle' conjecture
• Decomposition Theorems for q^*-Rings
• On the existence of continous hulls
• On the Decomposition of Continuous Modules
• On quasi-perfect rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuous Rings with Acc on Annihilators
• Modules Et Anneaux Quasi-Continus
• Pseudo-Injective Modules Which are not Quasi-Injective
• Rings Whose Cyclic Modules are Injective or Projective
• Modules Over Hereditary Noetherian Prime Rings, II
• Direct sum properties of quasi-injective modules
• The Structure of Semi-Local HQ Rings
• On the cancellation of quasi-injective modules
• Quasi-Injective and Pseudo-Infective Modules
• Injectives containihg no proper quasi-injective submodules
• Pre-Self-Injective Duo Rings
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• Weak q-Rings
• Rings of left invariant module type
• π-injective modules and rings whose cyclics are π-injective
• Continuous Rings and Rings of Quotients
• Selfinjective endomorphism rings of quasi-injective modules
• Hereditary π-injective rings
• Hereditary CS-Modules.
• σ-cs-modules
• RINGS WITH QUASI-INJECTIVE CYCLIC MODULES
• Hereditary QI-Rings
• A right continuous right weakly si-ring is semisimple
• The endomorphism ring of a distributive module
• A Right Countably Sigma-CS Ring with ACC or DCC on Projective Principal Right Ideals is Left Artinian and QF-3
• Endomorphisms of distributive modules
• Generalizations of CS-modules
• On Continuous Rings and Self Injective Rings
• Semihereditary rings
• On Quasi-Injective Ideals in the Prime Rings
• On automorphisms of an injective module
• Noninjective Cyclic Modules
• Pre-Self-Injective Rings
• On Continuous Regular Rings
• Quasi-Projective Covers and Direct Sums
• q -Rings with Chain Conditions
• Characterization of Rings Using Quasiprojective Modules. II
• Rings Whose Quasi-Injective Modules are Injective
• QUASIPERFECT MODULES
• Quasi-Injectivité de Certains Modules sur Leur Anneau D'endomorphismes
• Characterization of Rings Using Quasiprojective Modules. III
• When are Quasi-Injectives Injective?
• Some dual properties on modules
• Relative Projectivity and Injectivity Classes Determined by Simple Modules
• Rings All of Whose Cyclic Modules Are Quasi-Injective
• Associative rings
• Quasi-projective and quasi-injective modules