{"paper":{"title":"Special Precovered Categories of Gorenstein Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"Tiwei Zhao, Zhaoyong Huang","submitted_at":"2017-12-01T13:39:23Z","abstract_excerpt":"Let $\\mathscr{A}$ be an abelian category and $\\mathscr{P}(\\mathscr{A})$ the subcategory of $\\mathscr{A}$ consisting of projective objects. Let $\\mathscr{C}$ be a full, additive and self-orthogonal subcategory of $\\mathscr{A}$ with $\\mathscr{P}(\\mathscr{A})$ a generator, and let $\\mathcal{G}(\\mathscr{C})$ be the Gorenstein subcategory of $\\mathscr{A}$. Then the right 1-orthogonal category ${\\mathcal{G}(\\mathscr{C})^{\\bot_1}}$ of $\\mathcal{G}(\\mathscr{C})$ is both projectively resolving and injectively coresolving in $\\mathscr{A}$. We also get that the subcategory $\\spc(\\mathcal{G}(\\mathscr{C}))"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00314","kind":"arxiv","version":2},"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"}