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Moreover, in semiprime case let A = O(R) be the orthogonal completion of R and B = B(C) be the Boolian ring of C, where C is the extended centroid of R, then there exists an idempotent e in B such that eA is commutative ring and d induce a zero derivation on (1-e)A."},"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":"1409.5949","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-21T07:07:22Z","cross_cats_sorted":[],"title_canon_sha256":"0586bb28650a862306ca1e8ab239dac0f7417422e97671d493642ddb317cdf36","abstract_canon_sha256":"8663ae2bcbfaa41e29de1ffb3e1b312618c50edf1cb81848ef09399dc019800d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:20.391722Z","signature_b64":"MbjaBtvHDwcYatYB3v8BW2k1sj5sKCzTrPvz86uYLjNyYlOd+tUrY9n5F8xBjHNgooMEuhWBiu28QMQ1NBZwCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38b0952075203208b9a9b8a4c348f6f7c3a72f1b4bbdd43b7069c5d1ede0f351","last_reissued_at":"2026-05-18T01:00:20.391010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:20.391010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on power values of derivation in prime and semiprime rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Shervin Sahebi, Venus Rahmani","submitted_at":"2014-09-21T07:07:22Z","abstract_excerpt":"Let R be a ring with derivation d, such that (d(xy))^n =(d(x))^n(d(y))^n for all x,y in R and n>1 is a fixed integer. 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