dc.contributor.author | Gölbaşi Ö. | |
dc.contributor.author | Aydin N. | |
dc.date.accessioned | 2019-07-27T12:10:23Z | |
dc.date.accessioned | 2019-07-28T09:12:25Z | |
dc.date.available | 2019-07-27T12:10:23Z | |
dc.date.available | 2019-07-28T09:12:25Z | |
dc.date.issued | 2007 | |
dc.identifier.issn | 0044-8753 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12418/4294 | |
dc.description.abstract | Let N be a 3-prime left near-ring with multiplicative center Z, a (?, ?)-derivation D on N is defined to be an additive endomorphism satisfying the product rule D(xy) = ?(x)D(y) + D(x)?(y) for all x, y ? N, where ? and ? are automorphisms of N. A nonempty subset U of N will be called a semigroup right ideal (resp. semigroup left ideal) if U N ? U (resp. NU ? U) and if U is both a semigroup right ideal and a semigroup left ideal, it be called a semigroup ideal. We prove the following results: Let D be a (?, ?)-derivation on N such that ?D = D?, ?D = D?. (i) If U is semigroup right ideal of N and D(U) ? Z then N is commutative ring, (ii) If U is a semigroup ideal of N and D2(U) = 0 then D = 0. (iii) If a ? N and [D(U),a]?? = 0 then D(a) = 0 or a ? Z. | en_US |
dc.language.iso | eng | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | (?, ?)-derivation | en_US |
dc.subject | Derivation | en_US |
dc.subject | Prime near-ring | en_US |
dc.title | On near-ring ideals with (?, ?)-derivation | en_US |
dc.type | article | en_US |
dc.relation.journal | Archivum Mathematicum | en_US |
dc.contributor.department | Gölbaşi, Ö., Cumhuriyet University, Faculty of Arts and Science, Department of Mathematics, Sivas, Turkey -- Aydin, N., Çanakkale 18 Mart University, Faculty of Arts and Science, Department Of Mathematics, Çanakkale, Turkey | en_US |
dc.identifier.volume | 43 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.endpage | 92 | en_US |
dc.identifier.startpage | 87 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |