On Strongly Clean Modules

DOI10.1080/00927870802251047zbMath1175.16007OpenAlexW2115166480MaRDI QIDQ3627040

Hongbo Zhang

Publication date: 14 May 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802251047

zbMATH Keywords

endomorphism ringsstrongly clean ringsdirect sum decompositionsfinite exchange propertystrongly clean modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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 (4)

Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings ⋮ Unnamed Item ⋮ Special clean elements in rings ⋮ On Clean Rings

Cites Work

• Unnamed Item
• Classes of modules with the exchange property
• Continuous modules are clean.
• Strongly clean matrix rings over local rings.
• Strongly clean triangular matrix rings over local rings.
• When is the \(2\times 2\) matrix ring over a commutative local ring strongly clean?
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• Strongly clean rings and fitting's lemma
• Exchange rings, units and idempotents
• A Question on Strongly Clean Rings

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