{"paper":{"title":"Bimodule monomorphism categories and RSS equivalences via cotilting modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bao-Lin Xiong, Pu Zhang, Yue-Hui Zhang","submitted_at":"2017-10-01T08:33:16Z","abstract_excerpt":"The monomorphism category $\\mathscr{S}(A, M, B)$ induced by a bimodule $_AM_B$ is the subcategory of $\\Lambda$-mod consisting of $\\left[\\begin{smallmatrix} X\\\\ Y\\end{smallmatrix}\\right]_{\\phi}$ such that $\\phi: M\\otimes_B Y\\rightarrow X$ is a monic $A$-map, where $\\Lambda=\\left[\\begin{smallmatrix} A&M\\\\0&B \\end{smallmatrix}\\right]$. In general, it is not the monomorphism categories induced by quivers. It could describe the Gorenstein-projective $\\m$-modules. This monomorphism category is a resolving subcategory of $\\modcat{\\Lambda}$ if and only if $M_B$ is projective. In this case, it has enou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00314","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"}