A Note on Regularity Properties with Respect to Ideals

DOI10.1080/00927870701776870zbMath1148.16009OpenAlexW2070966608MaRDI QIDQ3510069

Abhishek Banerjee

Publication date: 26 June 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701776870

zbMATH Keywords

von Neumann regular ringsstable range conditionsrelative unitsunit-regularity

Mathematics Subject Classification ID

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

• A note on the group structure of unit regular ring elements
• Rings with internal cancellation.
• On strongly \(\pi\)-regular ideals.
• Unit \(1\)-stable range for ideals.
• On a class of regular rings that are elementary divisor rings
• Extensions of Unit1-Stable Range
• A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE
• Separative Ideals, Clean Elements, and Unit-Regularity

This page was built for publication: A Note on Regularity Properties with Respect to Ideals