On *-Clean Group Rings II

DOI10.1080/00927872.2015.1044106zbMath1355.16019OpenAlexW2555152340MaRDI QIDQ5740582

Yuan Lin Li, Pingzhi Yuan, Hongdi Huang

Publication date: 27 July 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1044106

zbMATH Keywords

group ringscyclotomic polynomialsclean rings\(\ast\)-clean rings

Mathematics Subject Classification ID

Group rings (16S34) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99)

Related Items (10)

Idempotents of generalized quaternion group algebras and their applications ⋮ $\ast$-Semiclean rings ⋮ 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 ⋮ On *-clean non-commutative group rings ⋮ On ∗-clean group rings over abelian groups ⋮ ∗-Cleanness of finite group rings ⋮ 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.
• Group rings in which every element is uniquely the sum of a unit and an idempotent.
• Rings in which elements are uniquely the sum of an idempotent and a unit that commute.
• EXTENSIONS OF CLEAN RINGS
• ON STRONGLY *-CLEAN RINGS
• Elementary Methods in Number Theory
• Some ∗-Clean Group Rings
• On *-clean group rings
• Local Group Rings

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