Geodesic
Super strongly clean group rings
Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 135-140

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In this paper, we study super strongly clean group rings for different classes of rings and groups. Mainly, we prove the following results: (1) Let R be a ring with 2∈ J(R) and G be a locally finite 2-group. Then the group ring RG is super strongly clean if and only if R is super strongly clean. (2) If R is a local ring with p∈ J(R) and G is a locally finite p-group, then the group ring RG is super strongly clean. (3) If R is an abelian exchange ring with 2∈ J(R) and G is a locally finite 2-group, then the group ring RG is super strongly clean.
Keywords: super strongly clean ring, clean ring, group ring, locally finite p-group 
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Singh, Amit B.; Kumar, Susheel. Super strongly clean group rings. Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 135-140. http://geodesic.mathdoc.fr/item/DMGAA_2023_43_1_a11/