A Generalization of Semiregular and Almost Principally Injective Rings

DOI10.1142/S1005386710000842zbMath1220.16003OpenAlexW2137088152WikidataQ114072163 ScholiaQ114072163MaRDI QIDQ3057662

Pınar Aydoğdu, Ayşe Çiğdem Özcan

Publication date: 16 November 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/17spec01/S1005386710000842.html

zbMATH Keywords

soclesannihilatorsalmost principally injective ringsalmost semiregular rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) General module theory in associative algebras (16D10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

• Generalizations of principally injective rings
• Strong lifting.
• Generalizations of Perfect, Semiperfect, and Semiregular Rings
• WEAKLY CONTINUOUS AND C2-RINGS
• Semiregular Modules with Respect to a Fully Invariant Submodule
• A note on extensions of Baer and P. P. -rings
• Idempotents and completely semiprime ideals
• Generalizations of Semiregular Rings^#

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