On some constructions of nil-clean, clean and exchange rings

DOI10.1142/S0219498815501017zbMath1325.16017arXiv1404.2662MaRDI QIDQ5255721

Alin Stancu

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2662

zbMATH Keywords

idempotentsexchange ringsclean ringsdeformations of algebrasposet algebrasnil-clean rings

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) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Deformations of associative rings (16S80) Units, groups of units (associative rings and algebras) (16U60) Extensions of associative rings by ideals (16S70)

Cites Work

• Nil clean rings.
• Exchange rings and decompositions of modules
• EXTENSIONS OF CLEAN RINGS
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
• On Hochschild Extensions of Reduced and Clean Rings

This page was built for publication: On some constructions of nil-clean, clean and exchange rings