Separative Ideals, Clean Elements, and Unit-Regularity

DOI10.1080/00927870500441825zbMath1095.16005OpenAlexW1981721302MaRDI QIDQ5201425

Huanyin Chen

Publication date: 19 April 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500441825

zbMATH Keywords

unitsidempotentsregular ringsunit-regular elementsclean elementsseparative 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) Ideals in associative algebras (16D25) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

A Note on Regularity Properties with Respect to Ideals ⋮ Modules Whose Endomorphism Rings are Unit-Regular ⋮ Clean matrices over commutative rings ⋮ Separative Cancellation over Regular Rings ⋮ On regular power-substitution.

Cites Work

• Unnamed Item
• Simple regular rings satisfying weak comparability
• Separative cancellation for projective modules over exchange rings
• Clean matrices and unit-regular matrices.
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• Extensions of Unit-Regular Rings
• Related comparability over exchange rings
• Countable linear transformations are clean
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT

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