{"paper":{"title":"Biflat-like Banach algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Amin Mahmoodi, Sanaz Haddad sabzevar","submitted_at":"2017-06-12T09:18:56Z","abstract_excerpt":"Given a Banach algebra $ \\mathcal{A} $ and a continuous homomorphism $\\sigma$ on it, the notion of $\\sigma$-biflatness for $ \\mathcal{A} $ is introduced. This is a generalization of biflatness and it is shown that they are distinct. The relations between $\\sigma$-biflatness and some other close concepts such as $\\sigma$-biprojectivity and $\\sigma$-amenability are studied. The $\\sigma$-biflatness of tensor product of Banach algebras are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04437","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"}