Universal Journal of Mathematics and Mathematical Sciences
Volume 11, Issue 1, Pages 1 - 6
(June 2018) http://dx.doi.org/10.17654/UM011010001 |
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COMMUTATIVE INVO-CLEAN GROUP RINGS
Peter V. Danchev
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Abstract: A ring Ris called invo-clean if any of its elements is the sum of an involution and an idempotent. For each ring Rand each group G, we find a criterion when the commutative group ring R[G] is invo-clean only in terms of R, Gand their sections. Our result is parallel to that of McGovern et al. in [8]. |
Keywords and phrases: invo-clean rings, group rings, nil-clean rings. |
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