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If A is a commutative normal Gorenstein domain, then anoncommutative quasi-resolution of A naturally produces a noncommutative crepant resolution (NCCR) of A in the sense of Van den Bergh, and vice versa. Under some mild hypotheses, we prove that (i) in dimension two, all noncommutative quasi-resolutions of a given non-commutative algebra are Morita equivalent, and (ii) in dimension three, all noncommutative quasi-resolutions of a give"},"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":"1802.09092","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-02-25T21:52:38Z","cross_cats_sorted":[],"title_canon_sha256":"bdc8a6337c8e82b65fedcc420559ff3f3d9dec9bb6b646c8b7d139a791649d29","abstract_canon_sha256":"83e9f2f424ed08f464db15a12f3140a0d85093b997c450ffb5b6f1c449f5ad58"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:58.285232Z","signature_b64":"jXNb59PMnfzdpepoPtIqgAA+o4pkJOcDutFPQbS10z/orXDvV0/wUmRjjNSHqRGPjOPfwSsd139WqWnhbG0aCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f214cdfd8aba7bac9d742fddbab16bba78eb7644c4f7e69b51ac63d405ba9db4","last_reissued_at":"2026-05-17T23:41:58.284736Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:58.284736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noncommutative quasi-resolutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"J.J. 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