Strong lifting splits.

DOI10.1016/j.jpaa.2010.11.001zbMath1254.16004OpenAlexW2154873605WikidataQ105368758 ScholiaQ105368758MaRDI QIDQ534011

W. Keith Nicholson, Mustafa Alkan, Ayşe Çiğdem Özcan

Publication date: 10 May 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.11.001

zbMATH Keywords

idempotentsexchange ringsenabling idealsleft duo ringslifting idealssemiregular modulessmall idealsweakly enabling left ideals

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Conditions on elements (16U99) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (7)

Generalizations of projectivity and supplements revisited for superfluous ideals ⋮ An ensemble of idempotent lifting hypotheses ⋮ USING IDEALS TO PROVIDE A UNIFIED APPROACH TO UNIQUELY CLEAN RINGS ⋮ Lifting properties of formal triangular matrix rings ⋮ Half-orthogonal sets of idempotents ⋮ Commuting idempotents, square-free modules, and the exchange property. ⋮ Structural results on lifting, orthogonality and finiteness of idempotents

Cites Work

• A generalization of projective covers
• Strong lifting.
• Generalizations of Perfect, Semiperfect, and Semiregular Rings
• Semiregular Modules with Respect to a Fully Invariant Submodule
• Properties of direct summands of modules
• Semiregular Modules and Rings
• Lifting Idempotents and Exchange Rings
• Regular Modules

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