Injectivity and cogenerator properties of a ring as bimodule

DOI10.1080/00927879008824001zbMath0714.16010OpenAlexW1997148761MaRDI QIDQ3199592

Robert Wisbauer

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824001

zbMATH Keywords

bimodulescategoryprojectivityfiniteness conditionsfull subcategoryinjective cogeneratorfinitely cogenerateddirect sums of simple ringsprogeneratorcogenerator ringsunitary left A-modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Bimodules in associative algebras (16D20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

• Good dualities and strongly quasi-injective modules
• Density and equivalence
• Zentrale Bimoduln und separable Algebren
• A generalization of quasi-Frobenius rings
• Localization of modules and the central closure of rings
• Co-semisimple modules and nonassociative v-rings

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