Maximal submodules and locally perfect rings

DOI10.1007/BF02307202zbMath0935.16003MaRDI QIDQ1282516

Askar A. Tuganbaev

Publication date: 9 February 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalvon Neumann regular ringsmaximal submodulesright perfect ringsright Bass ringslocally module-finite rings

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) Jacobson radical, quasimultiplication (16N20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (4)

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Cites Work

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• On the von Neumann regularity of rings with regular prime factor rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Locally perfect commutative rings are those whose modules have maximal submodules
• Commutative Rings Over which Every Module has a Maximal Submodule
• Central Localizations of Regular Rings

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