Commutative nil clean group rings

DOI10.1142/S0219498815500942zbMath1325.16024MaRDI QIDQ5251121

Alden Sharp, Shan Raja, Warren Wm. McGovern

Publication date: 22 May 2015

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

zbMATH Keywords

idempotentsnilpotent elementscommutative group ringsnil clean ringsnil clean group rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Units, groups of units (associative rings and algebras) (16U60) Arithmetic rings and other special commutative rings (13F99)

Related Items (19)

A multiplicative dual of nil-clean rings ⋮ Unnamed Item ⋮ Rings consisting entirely of certain elements ⋮ On graded nil clean rings ⋮ Commutative feebly nil-clean group rings ⋮ Nil-clean and strongly nil-clean rings. ⋮ On unit nil-clean rings ⋮ Commutative weakly nil-neat group rings ⋮ Commutative Weakly Invo–Clean Group Rings ⋮ On nil clean group rings ⋮ \(NR\)-clean rings ⋮ Commutative weakly nil clean unital rings. ⋮ COMMUTATIVE INVO-CLEAN GROUP RINGS ⋮ Rings in which every unit is a sum of a nilpotent and an idempotent ⋮ The strong nil-cleanness of semigroup rings ⋮ Strongly \(P\)-clean and semi-Boolean group rings ⋮ Group rings satisfying nil clean property ⋮ On weak zero-clean rings ⋮ Nil-clean group rings

Cites Work

• Examples of clean commutative group rings.
• Neat rings
• Nil-clean matrix rings
• Nil clean rings.
• Clean general rings.
• EXTENSIONS OF CLEAN RINGS
• On Strongly Nil Clean Matrices
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT

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