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

Érica Zancanella Fornaroli; Roger Emanuel Moraes Pezzott

paper

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

arXiv:2209.09690

Abstract

Let $F I (X, K)$ 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 $F I (X, K)$ is inner, we present necessary and sufficient conditions for two involutions on $F I (X, K)$ to be equivalent.