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In particular there is a natural homomorphism $\\Hom_{\\hat{R}^I}(\\hat{M}^I, \\hat{M}^I)\\to \\Hom_{R}(H^c_{I}(M),H^c_{I}(M))$, where $\\hat{\\cdot}^I$ denotes the $I$-adic completion functor. We prove sufficient conditions such that it becomes an isomorphism. Moreover, we study a homomorphism of two such endomorphism rings of local cohomology modules for two ideals $J \\subset I$ with th"},"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":"1405.1249","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-05-06T12:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"fcf36387a5540faaf0e318038c1d2ed16e78672da9043bb9408b86db47740c77","abstract_canon_sha256":"bfb08a43fb2c1cd47c2a3109228793eaed69859c7ac4d79990090b69725b4ec8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:05.757204Z","signature_b64":"tJgHVsq74jK1lKtNrEID9Al8SI9NHe/SO4XANrMxrgdtoDs6GS0OGNIyAgylFBDwkbLgYyzqLb+bU0D9mMddCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcb712eec0fba630f3bd515cc42333bb8ec02a507558f72e38dd02862e434859","last_reissued_at":"2026-05-18T02:52:05.756734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:05.756734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Note on Endomorphisms of Local Cohomology Modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Waqas Mahmood, Zohaib Zahid","submitted_at":"2014-05-06T12:46:08Z","abstract_excerpt":"Let $I$ denote an ideal of a local ring $(R,\\mathfrak{m})$ of dimension $n$. 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