New ⁎-clean finite group rings under the conjugate involution

Abstract Let G be a finite abelian group and F q 2 be a finite field of order q 2 . The conjugate involution ⁎ is defined by ⁎ : F q 2 G → F q 2 G , ∑ r g g ↦ ∑ r g q g − 1 . In this paper, we completely characterize when a group algebra F q 2 G is a ⁎-clean ring under the conjugate involution.

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