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IJMSI 2026, 21(1): 53-66 |
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Bedir Z, Golbasi O. Some Equations in Semiprime Rings with Multiplicative Generalized Semiderivation. IJMSI 2026; 21 (1) :53-66
URL: http://ijmsi.ir/article-1-2258-en.html
URL: http://ijmsi.ir/article-1-2258-en.html
Abstract:
Let R be a semiprime ring. A mapping F on R is said to be a multiplicative generalized semiderivation of R if there exists a multiplicative semiderivation d associated with a map g on R such that (i) F(xy) =F(x)y + g (x) d(y) = d(x)g (y) + xF(y) and (ii) F(g(x)) = g(F(x)), for all x, y ∈ R. The purpose of this paper is to study multiplicative generalized semiderivations satisfying certain differential identities on semiprime rings.
Type of Study: Research paper |
Subject:
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References
1. J. Bergen, Derivations in Prime Rings, Canad. Math. Bull., 26, (1983), 267-270. [DOI:10.4153/CMB-1983-042-2]
2. M. Bresar, Centralizing Mappings and Derivations in Prime Rings, Journal of Algebra, 156, (1993), 385-394. [DOI:10.1006/jabr.1993.1080]
3. M. N. Daif, When is a Multiplicative Derivation Additive, Int. J. Math. Math. Sci., 14(3), (1991), 615-618. [DOI:10.1155/S0161171291000844]
4. M. N. Daif, M. S. Tamman El-Sayiad, Multiplicative Generalized Derivation Which are Additive, East-West J. Math., 9(1), (1997), 31-37.
5. V. D. Filippis, A. Mamouni, L. Oukhtite, Semiderivations Satisfying Certain Algebraic Identities on Jordan ˙ Ideals, ˙ ISRN Algebra, Article ID 738368, 7 pages, (2013). [DOI:10.1155/2013/738368]
6. B. Hvala, Generalized Derivations in Rings, Communications in Algebra, 26(4), (1998), 1147-1166. [DOI:10.1080/00927879808826190]
7. E. C. Posner, Derivations in Prime Rings, Proc. Amer. Math. Soc., 8, (1957), 1093-1100. [DOI:10.1090/S0002-9939-1957-0095863-0]
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