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 $\varphi$ 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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.1811.05928 |