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Then, for any finite admissible set $\\Phi$ and any generator $X$ of the $A$-module category, the $\\Phi$-Auslander-Yoneda algebras of $X$ and $N\\otimes_AX$ are stably equivalent of Morita type. Moreover, under certain conditions, we transfer stable equivalences of Morita type between $A$ and $B$ to ones between $eAe$ and $fBf$, where $e$ and $f$ are"},"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":"1012.2170","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-12-10T03:44:41Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"e1335ffd1ade7c15cd09bfdd331f73808ffd01309044e0bf77b2791329d20755","abstract_canon_sha256":"1dd97d2f06d39cde08ee9cb46fddde64ef20847ed04146477d9c86a6d0bb1a1d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:12.134672Z","signature_b64":"rURj2yZHm6wyagjEPNn5QuBcuuwwzWxIYNiOgGMdxdhIjv+4esrgz5lj4ppC5pj4Ja7IsMKwYYpCVSCZFErgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7074a5e4581b57052cafd4f86dd185bf65f125854354a5011fc31bb258fe31cf","last_reissued_at":"2026-05-18T03:49:12.133987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:12.133987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inductions and restrictions for stable equivalences of Morita type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Changchang Xi, Hongxing Chen, Shengyong Pan","submitted_at":"2010-12-10T03:44:41Z","abstract_excerpt":"In this paper, we present two methods, induction and restriction procedures, to construct new stable equivalences of Morita type. 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