Document Zbl 1313.16036

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Ashrafi, Nahid; Nasibi, Ebrahim

Strongly J-clean group rings. (English) Zbl 1313.16036

Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 14, No. 1, 9-12 (2013).

Summary: An element of a ring is called strongly J-clean provided that it can be written as the sum of an idempotent and an element in its Jacobson radical that commute. A ring is called strongly J-clean if each of its elements is strongly J-clean. In this article, we investigate some properties of strongly J-clean group rings.

MSC:

16S34	Group rings
16U60	Units, groups of units (associative rings and algebras)

Keywords:

clean rings; strongly J-clean rings; strongly J-clean group rings; idempotents; Jacobson radical

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