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arXiv · 1811.05928

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

Rosali Brusamarello·Érica Z. Fornaroli·Mykola Khrypchenko
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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.

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Rosali Brusamarello, Érica Z. Fornaroli, Mykola Khrypchenko. 2018-11-14. Jordan Isomorphisms of the Finitary Incidence Ring of a Partially Ordered Category. https://arxiv.org/abs/1811.05928

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