Geodesic
Commutative weakly invo-clean group rings
Ural mathematical journal, Tome 5 (2019) no. 1, pp. 48-52

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A ring $R$ is called weakly invo-clean if any its element is the sum or the difference of an involution and an idempotent. For each commutative unital ring $R$ and each abelian group $G$, we find only in terms of $R$, $G$ and their sections a necessary and sufficient condition when the group ring $R[G]$ is weakly invo-clean. Our established result parallels to that due to Danchev-McGovern published in J. Algebra (2015) and proved for weakly nil-clean rings.
Keywords: invo-clean rings, weakly invo-clean rings, group rings. 
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     author = {Peter V. Danchev},
     title = {Commutative weakly invo-clean group rings},
     journal = {Ural mathematical journal},
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     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a4/}
}
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Peter V. Danchev. Commutative weakly invo-clean group rings. Ural mathematical journal, Tome 5 (2019) no. 1, pp. 48-52. http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a4/