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- W2024915039 abstract "A ring R is called clean if every element is the sum of an idempotent and a unit, while R is called uniquely clean if this representation is unique. In this article, we prove that if R is a commutative ring and G is an abelian p-group with p in J(R), then RG is clean if and only if R is clean. Moreover, when G is a locally finite group, some conditions for RG to be uniquely clean are given." @default.
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- W2024915039 date "2012-07-05" @default.
- W2024915039 modified "2023-10-09" @default.
- W2024915039 title "Cleanness of the Group Ring of an Abelian p-Group over a Commutative Ring" @default.
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- W2024915039 doi "https://doi.org/10.1142/s1005386712000405" @default.
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