Jordan Isomorphisms of Finitary Incidence Algebras

Rosali Brusamarello; Érica Z. Fornaroli; Mykola Khrypchenko

Jordan Isomorphisms of Finitary Incidence Algebras

Rings and Algebras 2017-03-08 v2

Authors: Rosali Brusamarello , Érica Z. Fornaroli , Mykola Khrypchenko

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.

Keywords

Jordan isomorphism finitary incidence algebra partially ordered set commutative unital ring R-linear map homomorphism anti-homomorphism

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@article{arxiv.1701.08859,
  title  = {Jordan Isomorphisms of Finitary Incidence Algebras},
  author = {Rosali Brusamarello and Érica Z. Fornaroli and Mykola Khrypchenko},
  journal= {arXiv preprint arXiv:1701.08859},
  year   = {2017}
}

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Revised

Jordan Isomorphisms of Finitary Incidence Algebras

Abstract

Keywords

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