COMMUTATIVE INVO-CLEAN GROUP RINGS
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].
invo-clean rings, group rings, nil-clean rings.