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Jordan isomorphisms of finitary incidence algebras

2017/03/27 by Rosali Brusamarello, Érica Z. Fornaroli, Mykola Khrypchenko
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras

paper · doi:10.1080/03081087.2017.1306019

Abstract

Let X be a partially ordered set, R a commutative 2-torsionfree unital ring and FI(X, R) the finitary incidence algebra of X over R. In this note we prove that each R-linear Jordan isomorphism of FI(X, R) onto an R-algebra A is the near-sum of a homomorphism and an anti-homomorphism.

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