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Jordan isomorphisms of the finitary incidence ring of a partially ordered category

Volume 159 / 2020

Rosali Brusamarello, Érica Z. Fornaroli, Mykola Khrypchenko Colloquium Mathematicum 159 (2020), 285-307 MSC: Primary 16S50, 17C50; Secondary 16W10. DOI: 10.4064/cm7777-1-2019 Published online: 29 November 2019

Abstract

Let $\mathcal C $ be a pocategory, $FI(\mathcal C )$ the finitary incidence ring of $\mathcal C $, and $\varphi $ a Jordan isomorphism of $FI(\mathcal C )$ onto an associative ring $A$. We study the problem of decomposition of $\varphi $ into the (near-)sum of a homomorphism and an anti-homomorphism. In particular, we obtain generalizations of the main results of Akkurt et al. (2015) and Brusamarello et al. (2018).

Authors

  • Rosali BrusamarelloDepartamento de Matemática
    Universidade Estadual de Maringá
    Maringá, PR, CEP: 87020-900, Brazil
    e-mail
  • Érica Z. FornaroliDepartamento de Matemática
    Universidade Estadual de Maringá
    Maringá, PR, CEP: 87020-900, Brazil
    e-mail
  • Mykola KhrypchenkoDepartamento de Matemática
    Universidade Federal de Santa Catarina
    Campus Reitor João David Ferreira Lima
    Florianópolis, SC, CEP: 88040-900, Brazil
    e-mail

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