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The class of left nearly Gorenstein algebras is a large class that includes for example all Gorenstein algebras and all representation-finite algebras. We prove that the Gorenstein dimension of $A$ coincides with the Gorenstein projective dimension of the regular module as"},"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":"1710.03066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-10-09T12:56:20Z","cross_cats_sorted":[],"title_canon_sha256":"0348e8148ecd67015518746ad7ec919a57b5d883b0da1805a38c9aa70b190b8b","abstract_canon_sha256":"b5a56e866dab3b5018f1ca4a2da5878174d05f8ab6c01e5cddafa2ca58c57e70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:27.161233Z","signature_b64":"PWAaeOyqerT8LGu24/ZF/L5qqRnJB2lGjFO9mwNy3bHvC7kqjleeavqmOGsh/KV/etn3eVlhet+uGvKv/MDzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93bc991faf65ead9528c0798cd570a02d05c06569b5dd722e94db25be6ae223c","last_reissued_at":"2026-05-18T00:33:27.160775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:27.160775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a new formula for the Gorenstein dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Rene Marczinzik","submitted_at":"2017-10-09T12:56:20Z","abstract_excerpt":"Let $A$ be a finite dimensional algebra over a field $K$ with enveloping algebra $A^e=A^{op} \\otimes_K A$. 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