On ∗-clean group rings over abelian groups

DOI10.1142/S0219498817501523zbMath1382.16018MaRDI QIDQ4975388

Hanbin Zhang, Dongchun Han, Yuan Ren

Publication date: 4 August 2017

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

zbMATH Keywords

Galois groupidempotentgroup ring\(\ast\)-clean ring

Mathematics Subject Classification ID

Group rings (16S34) Conditions on elements (16U99)

Related Items (5)

A reduction theorem for the existence of \(\ast\)-clean finite group rings ⋮ On \(\ast\)-clean group rings over finite fields ⋮ Clean group rings over localizations of rings of integers ⋮ Strongly 2-nil-clean rings with involutions ⋮ New \(\ast\)-clean finite group rings under the conjugate involution

Cites Work

• \(*\)-clean rings; some clean and almost clean Baer \(*\)-rings and von Neumann algebras.
• An introduction to group rings
• On *-clean non-commutative group rings
• ON STRONGLY *-CLEAN RINGS
• Lifting Idempotents and Exchange Rings
• Elementary Methods in Number Theory
• Some ∗-Clean Group Rings
• On *-clean group rings
• On *-Clean Group Rings II

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