arXiv subjects

Rosali Brusamarello

Publications and source records attributed to Rosali Brusamarello.

2 recordsLinked to original sources

arXiv2018

Jordan Isomorphisms of the Finitary Incidence Ring of a Partially Ordered Category

Let $\mathcal{C}$ be a pocategory, $FI(\mathcal{C})$ the finitary incidence ring of $\mathcal{C}$ and $φ$ a Jordan isomorphism of $FI(\mathcal{C})$ onto an associative ring $A$. We study the problem of decomposition of $φ$ into the (near-)sum of a homomorphism and an anti-homomorphism.

math.RA↗

arXiv2017

Jordan Isomorphisms of Finitary Incidence Algebras

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.

math.RA↗