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These ideas not only can be used to recover the abelian quotients produced by cluster-tilting subcategories of both exact categories and triangulated categories, but also can be used to reach our goal. Let $(\\mathcal{C},\\mathcal{E})$ be an exact category. We denote by $\\mathcal{E}(\\mathcal{C})$ the category of bounded complexes whose objects are given by short exact sequences in $\\mathcal{E}"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1802.03683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-11T02:51:22Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"5870f2661cbe5a73d82ce73ee69642f281251539af4e997993738fd0dad1fb59","abstract_canon_sha256":"4d424f71c95b5745e7f1fbf7d285d496c6b48ea890989b980b82064a6a6eb874"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:50.785479Z","signature_b64":"4d/cLvY7Aa0j/Nk4Hy58faQaNKfh/x+ntcInflO4sOE+rP5nQ/Se7sYYlLlspASyWh08g1zIqkRJIjvI9vTUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd7e2c0fb0613a35471db50eb8bc1d79739a2e2eb90d1da1601600e5fda7fc34","last_reissued_at":"2026-05-18T00:23:50.784783Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:50.784783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Abelian quotients of the categories of short exact sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Zengqiang Lin","submitted_at":"2018-02-11T02:51:22Z","abstract_excerpt":"We mainly investigate abelian quotients of the categories of short exact sequences. 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