Continuous rings with chain conditions

DOI10.1016/0022-4049(94)00017-4zbMath0824.16020OpenAlexW1964278780MaRDI QIDQ1346194

Mohamed F. Yousif, W. Keith Nicholson

Publication date: 1 November 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00017-4

zbMATH Keywords

direct summandsprimitive idempotentsquasi-Frobenius ringsminimal right idealssimple left modulesleft Goldie ringsACC on left annihilatorsleft continuous rings

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) Quasi-Frobenius rings (16L60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (8)

MODULES WITH SMALL CYCLIC SUBMODULES IN THEIR INJECTIVE HULLS ⋮ Mininjective rings ⋮ The proof theoretic strength of the Steinitz exchange theorem ⋮ Modelling water droplet movement on a leaf surface ⋮ WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM ⋮ Rings whose nonsingular modules have projective covers ⋮ Characterizations of QF Rings ⋮ T-continuous modules

Cites Work

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• Self-injective rings with restricted chain conditions
• Continuous Rings with Acc on Essentials are Artinian
• On Continuous Regular Rings and Semisimple Self Injective Rings
• On continuous semiprimary rings
• Continuous Rings with Acc on Annihilators
• On Continuous Rings and Self Injective Rings
• CS-Modules with ACC or DCC on essential submodules

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