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Jordan isomorphisms of finitary incidence algebras |
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| Authors: | Rosali Brusamarello Érica Z. Fornaroli |
| Affiliation: | Departamento de Matemática, Universidade Estadual de Maringá, Maringá, Brazil. |
| 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 near-sum homomorphism anti-homomorphism finitary incidence algebra |