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Keywords:
unit nil-clean ring; clean ring; $p$-group; locally finite group; singular clean ring; UU ring; nil-clean ring
unit nil-clean ring; clean ring; $p$-group; locally finite group; singular clean ring; UU ring; nil-clean ring
Summary:
We study the unit nil-cleanness of group rings when $R$ is commutative or arbitrary. Furthermore, we investigate some properties of singular clean group rings. A necessary and sufficient condition for the group ring $RG$ to be singular clean is provided.
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