scientific article; zbMATH DE number 1522513

zbMath0962.16004MaRDI QIDQ4510748

Askar A. Tuganbaev

Publication date: 10 June 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

linearly compact modulesKrull dimensionserial modulesserial ringsclassical rings of quotientssemidistributive modulesuniserial right modules

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items

Rings all of whose finitely generated ideals are automorphism-invariant, Direct sum decompositions of projective and injective modules into virtually uniserial modules

Cites Work

• Krull dimension in serial rings
• Maps between tree and band modules
• When do the transpose and dual agree?
• Einreihig zerlegbare Ringe sind selbstdual
• On serial quasi-hereditary rings
• Exact modules and serial rings
• Towards self-duality of semidistributive artinian rings
• Tame biserial algebras
• Modules locally of serial type
• On Artinian rings whose indecomposable projectives are distributive
• Overrings of right chain domains
• Distributive rings and endodistributive modules
• Rings with flat right ideals and distributive rings
• Serial rings with right Krull dimension one
• On polyserial modules over valuation domains
• Semihereditary semichain rings
• Reflexive serial algebras
• Serial rings with right Krull dimension one. II
• Valuation rings in finite-dimensional division algebras
• Self-duality and serial rings
• Uniform modules over serial rings
• Serial modules and endomorphism rings
• Einreihige Algebren über einem perfekten Körper
• Serial rings and finitely presented modules
• Nonsingular semiperfect CS-rings
• The repetitive algebra of a gentle algebra
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Flat modules and distributive rings
• Model theory of modules over a serial ring
• Left generalized uniserial rings
• On a generalization of Azumaya's exact rings
• Right chain domains with prescribed value holoid
• Rings of endomorphisms and distributivity
• On quaternion algebras
• Distributive semiprime rings
• Modules over serial rings
• Über eine Klasse von Ringen mit Minimalbedingung. I
• Torsion-free modules and rings
• Generalized uniserial rings and their Kupisch series
• Serial rings
• The structure of serial rings
• QF-1 algebras with faithful direct sums of uniserial modules
• On Two-Sided Right Ideals in Chain Domains
• Beiträge zur Theorie nichthalbeinfacher Ringe mit Minimalbedingungen.
• Serial rings with krull dimension
• A note on three artinian rings
• Prime serial rings with krull dimension
• Uniserial modules: sums and isomorphisms of subquotients
• Uniform modules over serial rings with krull dimension
• A note on right serial rings
• Self-duality of serial rings
• Self-duality andl-hereditary semidistributive rings
• Certain uniform modules over serial rings are uniserial
• Krull-Schmidt fails for serial modules
• On a generalization of serial rings.II
• Artinian and nobthekian modules over regular rings
• Rings whose Indecomposable Injective Modules are Uniserial
• Value Groups and Distributivity
• Modules Whose Lattice of Submodules is Distributive
• Decomposition of modules over serial rings
• Rings of left invariant module type
• Weakly symmetric rings of distributive module type
• Bezout rings and serial rings
• Stable Equivalence of Uniserial Rings
• Two Examples of Local Artinian Rings
• Semidistributive hereditary rings
• The Structure of Biserial Algebras
• A characterization of nakayama rings
• Classical localizations in serial rings
• Direct sums of distributive modules
• Distributively decomposable rings
• On semidistributive rings
• ORE sets in serial rings
• Artinian right serial rings
• Composition factors of indecomposable modules
• A note on generalished uniserial ring
• Modules whose lattice of submodules is distributive
• Serial Right Noetherian Rings
• Modules over diserial rings
• Generalized Discrete Valuation Rings
• Decomposability of Finitely Presented Modules
• The geometry of uniserial representations of finite dimensional algebras. III: Finite uniserial type
• Associative 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