{"paper":{"title":"Separated monic representations II: Frobenius subcategories and RSS equivalences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bao-Lin Xiong, Pu Zhang","submitted_at":"2017-07-16T11:22:25Z","abstract_excerpt":"This paper aims at looking for Frobenius subcategories, via the separated monomorphism category ${\\rm smon}(Q, I, \\x)$, and on the other hand, to establish an {\\rm RSS} equivalence from ${\\rm smon}(Q, I, \\x)$ to its dual ${\\rm sepi}(Q, I, \\x)$. For a bound quiver $(Q, I)$ and an algebra $A$, where $Q$ is acyclic and $I$ is generated by monomial relations, let $\\Lambda=A\\otimes_k kQ/I$. For any additive subcategory $\\x$ of $A$-mod, we construct ${\\rm smon}(Q, I, \\x)$ combinatorially. This construction describe Gorenstein-projective $\\m$-modules as $\\mathcal {GP}(\\m) = {\\rm smon}(Q, I, \\mathcal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04866","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"}