{"paper":{"title":"Jordan left {g, h}-derivations over some algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Arindam Ghosh, Om Prakash","submitted_at":"2018-03-21T14:56:17Z","abstract_excerpt":"In this article, left {g, h}-derivation and Jordan left {g, h}-derivation on algebras are introduced. It is shown that there is no Jordan left {g, h}-derivation over $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$, for g not equal to h. Examples are given which show that every Jordan left $\\{g, h\\}$-derivation over $\\mathcal{T}_n(C)$, $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$ are not left $\\{g, h\\}$-derivations. Moreover, we characterize left $\\{g, h\\}$-derivation and Jordan left $\\{g, h\\}$-derivation over $\\mathcal{T}_n(C)$, $\\mathcal{M}_n(C)$ and $\\mathbb{H}_{\\mathbb{R}}$ respectivel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07953","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"}