Abstract
Let G be a finite abelian group and Fq2 be a finite field of order q2. The conjugate involution ⁎ is defined by ⁎:Fq2G→Fq2G, ∑rgg↦∑rgqg−1. In this paper, we completely characterize when a group algebra Fq2G is a ⁎-clean ring under the conjugate involution.
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