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

2022/09/20 by Érica Z. Fornaroli, Fornaroli, Érica Zancanella, Roger Emanuel Moraes Pezzott +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2209.09690

openalex publication_date 2022/09/20 · openalex created_date 2022/09/22 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Involutions of the second kind on finitary incidence algebras
• Anti-isomorphisms and involutions on the idealization of the incidence space over the finitary incidence algebra
• Involutions on Incidence Algebras of Finite Posets
• Finitary Incidence Algebras
• Invertibility preservers of finitary incidence algebras