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We conclude some Artinianness and cofiniteness results for $\\lc^{n}_{\\fa}(M, X)$, and some finiteness results for $\\Supp_R(\\lc^{n}_{\\fa}(M, X))$ and $\\Ass_R(\\lc^{n}_{\\fa}(M, X))$."},"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":"1107.5079","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-07-25T21:40:44Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"df5bf61efe287015ef9da2610f5c0cd18e1d049e108d752b5f8abbe4d97a884b","abstract_canon_sha256":"3e6d88310c18b7992042898d39bc325b7395359b8ea2768a01ad6e89f7a39153"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:43.771931Z","signature_b64":"0Xv7jv423KNLzXuxC9mB3AihcRqg4BNhUau4pcuqwq84tAeU2RqcBieSU02SOIMOAkq0RQSTlfe6HiLT/p6pBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c3b024f1def8343819e2244126a01179c0ef9b56011913fd10a26488e120887","last_reissued_at":"2026-05-18T03:13:43.771237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:43.771237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some results on generalized local cohomology modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Alireza Vahidi, Moharram Aghapournahr","submitted_at":"2011-07-25T21:40:44Z","abstract_excerpt":"Let $R$ be a commutative Noetherian ring with non-zero identity, $\\fa$ an ideal of $R$, $M$ a finite $R$--module and $X$ an arbitrary $R$--module. 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