Simple-Baer Rings and Minannihilator Modules

DOI10.1080/00927872.2010.534747zbMath1260.16003OpenAlexW2037233743MaRDI QIDQ2880426

Li-Xin Mao

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.534747

zbMATH Keywords

precoverspreenvelopesminannihilator modulessimple Baer ringssimple coherent ringssimple flat modulesuniversally mininjective rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

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• Injective and flat covers, envelopes and resolvents
• Commutative coherent rings
• On PP-rings
• Mininjective rings
• Rings with the principal extension property
• Relative injective covers
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• Rings satisfying certain chain conditions.
• On (von Neumann) regular rings