{"paper":{"title":"On (m, n)-derivations of Some Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Jianbin Guo, Jiankui Li, Qihua Shen","submitted_at":"2012-03-12T14:13:33Z","abstract_excerpt":"Let $\\mathcal{A}$ be a unital algebra, $\\delta$ be a linear mapping from $\\mathcal{A}$ into itself and $m$, $n$ be fixed integers. We call $\\delta$ an (\\textit{m, n})-derivable mapping at $Z$, if $m\\delta(AB)+n\\delta(BA)=m\\delta(A)B+mA\\delta(B)+n\\delta(B)A+nB\\delta(A)$ for all $A, B\\in \\mathcal{A}$ with $AB=Z$. In this paper, (\\textit{m, n})-derivable mappings at 0 (resp. $I_\\mathcal{A}\\oplus0$, $I$) on generalized matrix algebras are characterized. We also study (\\textit{m, n})-derivable mappings at 0 on CSL algebras. We reveal the relationship between this kind of mappings with Lie derivatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2497","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"}