Relative chain conditions and module classes

DOI10.1080/00927879708825873zbMath0871.16016OpenAlexW1996971224MaRDI QIDQ3124358

Yiqiang Zhou

Publication date: 25 September 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708825873

zbMATH Keywords

torsion theoriesdirect sumsinjective hullsquasi-injective modulesleft annihilatorsnatural classesascending and descending chain conditionsprenatural classesWisbauer categories

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (4)

Lattices of classes of modules ⋮ Ideals, Natural Classes, and Functors ⋮ Sublattices of the lattice of pre-natural classes of modules ⋮ Rings for Which the Lattice of Hereditary Torsion Theories and the Lattice of Natural Classes are Isomorphic

Cites Work

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• The rational Loewy series and nilpotent ideals of endomorphism rings
• The ring of endomorphisms of a finite dimensional module
• On the endomorphism ring of a module with relative chain conditions
• Direct sums of quasi-injective modules, injective covers, and natural classes
• On Direct Sums of Injective Modules and Chain Conditions
• Direct sums of m-injective modules and module classes
• On the Nilpotency of Nil Subrings

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