Clean elements in Abelian rings.

DOI10.1007/s12044-009-0014-3zbMath1185.16039OpenAlexW2078395124MaRDI QIDQ841191

Angelina Yan Mui Chin

Publication date: 14 September 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-009-0014-3

zbMATH Keywords

unitscentral idempotentsclean ringsAbelian ringsclean elements

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) Generalizations of commutativity (associative rings and algebras) (16U80) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (8)

Topologically boolean and g(x)-clean rings ⋮ On rings with weakly prime centers. ⋮ SOME STUDIES ON GZI RINGS ⋮ Some notes on semiabelian rings. ⋮ Generalized weakly symmetric rings. ⋮ Fusible rings ⋮ WHEN IS AN ABELIAN WEAKLY CLEAN RING CLEAN? ⋮ Some notes on $GQN$ rings

Cites Work

• Neat rings
• Rings in which every prime ideal is contained in a unique maximal right ideal
• On pm-rings
• Lifting Idempotents and Exchange Rings
• Spectrum of a Noncommutative Ring
• Spectra of Maximal 1-Sided Ideals and Primitive Ideals

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