RINGS WHOSE SIMPLE MODULES ARE ABSOLUTELY PURE

DOI10.1081/AGB-100002113zbMath0991.16001MaRDI QIDQ2752380

Qiaoling Xia, Zhi Xiang Wu

Publication date: 5 May 2002

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

zbMATH Keywords

simple right modulescentersprimitive idealsvon Neumann regular ringsself-injective ringsright V-ringsFP-injective ringsSAP 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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

Singly injective modules ⋮ Rings whose modules have grade zero.

Cites Work

• Unnamed Item
• On the free product of associative rings
• On dual rings and their modules
• Rings with Morita duality
• Rings whose injective hulls are cogenerators
• Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
• The homological dimensions of simple modules
• Self-injective rings

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