Right self-injective rings whose essential right ideals are two-sided

DOI10.2140/PJM.1979.82.23zbMath0416.16006OpenAlexW1974711844WikidataQ114045278 ScholiaQ114045278MaRDI QIDQ754274

Kenneth A. Byrd

Publication date: 1979

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1979.82.23

zbMATH Keywords

essential right idealsquasi- injective right idealsright q-ringright self-injective duo ringsright self-injective rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Generalizations of commutativity (associative rings and algebras) (16U80) Noncommutative local and semilocal rings, perfect rings (16L30) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (11)

Rings all of whose right ideals are U-modules ⋮ Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals ⋮ Rings with quasi-injective ideals ⋮ Rings with each right ideal automorphism-invariant. ⋮ On \(\Sigma\)-\(q\) rings. ⋮ Skew-injective modules ⋮ The Structure of Right Continuous Right π-Rings ⋮ Modules ⋮ Self-injective simple Pierce sheaves ⋮ Generalized V-rings and von Neumann regular rings ⋮ An example of a right \(q\)-ring

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