Products of idempotents in separative regular rings

DOI10.1142/S0219498814500716zbMath1307.16007OpenAlexW1993643989MaRDI QIDQ2878806

K. C. O'Meara

Publication date: 5 September 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498814500716

zbMATH Keywords

finitely generated projective modulesdecompositionsexchange ringsvon Neumann regular ringsseparativityfinite exchange propertyproducts of idempotentscancellation problemsseparative rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

Generic simplicity of quantum Hamiltonian reductions ⋮ Decomposition of singular elements of an algebra into product of idempotents, a survey

Cites Work

• Unnamed Item
• Stable range one for rings with many units
• Products of idempotents in regular rings. II
• Simple regular rings satisfying weak comparability
• Separative cancellation for projective modules over exchange rings
• The almost isomorphism relation for simple regular rings
• Free and residually artinian regular rings
• Products of idempotents in regular rings

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