Full Elements in One-Sided Unit-Regular Rings

DOI10.1080/00927870500261421zbMath1116.16008OpenAlexW2036856105MaRDI QIDQ5478656

Huanyin Chen

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500261421

zbMATH Keywords

idempotentsregular ringsprogeneratorsone-sided unit-regular ringsleft invertible elementsfull corners

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) 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) Stable range conditions (19B10)

Cites Work

• Unnamed Item
• Separative cancellation for projective modules over exchange rings
• Pseudo-similarity in semigroups.
• \(K_ 1\) of separative exchange rings and \(C^ *\)-algebras with real rank zero.
• A Stable Cancellation Theorem for Simple C*-Algebras
• Depth of Idempotent-Generated Subsemigroups of a Regular Ring
• Related comparability over exchange rings
• Elements in one-sided unit regular rings
• Comparability of modules over regular rings
• Stable rank of corner rings

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