Separative Cancellation over Regular Rings

DOI10.1080/00927870600651307zbMath1105.16018OpenAlexW2027757784MaRDI QIDQ5489298

Huanyin Chen

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600651307

zbMATH Keywords

von Neumann regular ringsunit-regular ringsseparativitystrongly separative 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 (1)

Separativity of Regular Rings in Which 2 Is Invertible

Cites Work

• Unnamed Item
• Simple regular rings satisfying weak comparability
• Separative cancellation for projective modules over exchange rings
• Diagonalization of matrices over regular rings
• Cancellation of projective modules over regular rings with comparability
• Separative cancellation and multiple isomorphism in torsion-free Abelian groups
• Comparability, separativity, and exchange rings
• Separative Ideals, Clean Elements, and Unit-Regularity

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