Classification of involutions on finitary incidence algebras of non-connected posets.

Let FI(X, K) be the finitary incidence algebra of a non-connected partially ordered set X over a field K of characteristic different from 2. For the case where every multiplicative automorphism of FI(X, K) is inner, we present necessary and sufficient conditions for two involutions on FI(X, K) to be equivalent. [ABSTRACT FROM AUTHOR]