On a generalisation of self-injective von Neumann regular rings

DOI10.1090/S0002-9939-96-03185-1zbMath0843.16004OpenAlexW1602745590WikidataQ114093941 ScholiaQ114093941MaRDI QIDQ4875558

George Ivanov

Publication date: 18 August 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03185-1

zbMATH Keywords

structure theoremsprimitive orthogonal idempotentsself-injective von Neumann regular ringsinfinite identities

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) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

Rings all of whose finitely generated ideals are automorphism-invariant ⋮ Rings with each right ideal automorphism-invariant. ⋮ Prime Goldie Rings of Uniform Dimension at Least Two and with All One-Sided Ideals CS Are Semihereditary ⋮ The Structure of Right Continuous Right π-Rings ⋮ An example of a right \(q\)-ring

Cites Work

• Lectures on injective modules and quotient rings
• Non-local rings whose ideals are all quasi-injective
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