Cleanness of the Group Ring of an Abelian p-Group over a Commutative Ring

DOI10.1142/S1005386712000405zbMath1259.16026OpenAlexW2024915039MaRDI QIDQ2909084

Xiulan Wang, Hong You

Publication date: 29 August 2012

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

Full work available at URL: https://doi.org/10.1142/s1005386712000405

zbMATH Keywords

unitsidempotentsgroup ringsAbelian \(p\)-groupsuniquely clean rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Unnamed Item ⋮ On almost s-weakly regular rings

Cites Work

• Group rings in which every element is uniquely the sum of a unit and an idempotent.
• EXTENSIONS OF CLEAN RINGS
• Exchange rings, units and idempotents
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
• On the Group Ring

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