{"paper":{"title":"Jordan Isomorphisms of the Finitary Incidence Ring of a Partially Ordered Category","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"\\'Erica Z. Fornaroli, Mykola Khrypchenko, Rosali Brusamarello","submitted_at":"2018-11-14T17:56:43Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05928","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}