{"paper":{"title":"Generalized Jordan derivations of Incidence Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Bruno Leonardo Macedo Ferreira, Ruth Nascimento Ferreira, Tanise Carnieri Pierin","submitted_at":"2018-06-04T22:50:48Z","abstract_excerpt":"For a given ring $\\mathfrak{R}$ and a locally finite pre-ordered set $(X, \\leq)$, consider $I(X, \\mathfrak{R})$ to be the incidence algebra of $X$ over $\\mathfrak{R}$. Motivated by a Xiao's result which states that every Jordan derivation of $I(X,\\mathfrak{R})$ is a derivation in the case $\\mathfrak{R}$ is $2$-torsion free, one proves that each generalized Jordan derivation of $I(X,\\mathfrak{R})$ is a generalized derivation provided $\\mathfrak{R}$ is $2$-torsion free, getting as a consequence the above mentioned result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02189","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"}