Semiprime near-rings with multiplicative generalized (θ,θ)-derivations

• Autorzy: Koç E. , Gölbaşi Ö.

Identyfikatory

DOI

10.1515/fascmath-2016-0019

• Języki publikacji: EN

Abstrakty

EN

Let N be a semiprime right near-ring and I a semigroup ideal of N. A map f : N →N is called a multiplicative generalized (θ,θ)-derivation if there exists a multiplicative (θ,θ)-derivation d : R → such that f(xy) - f(x)θ(y) + θ(x)d(y), for all x,y ϵ R. The purpose of this paper is to investigate the following: [formula].

Słowa kluczowe

EN

semiprime near-ring; semigroup ideal; generalized derivation; multiplicative generalized derivation; multiplicative generalized (θ,θ)-derivation

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 57
• Strony: 105--119
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Koç E.

• Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, Turkey

autor

Gölbaşi Ö.

• Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, Turkey

Bibliografia

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• [6] Daif M.N., When is a multiplicative derivation additive?, Int. J. Math. Math. Sci., 14(3)1991, 615-618.
• [7] Daif M.N., Tammam El-Sayiad M.S., Multiplicative generalized derivations which are additive, East-West J. Math., 9(1)(1997), 31-37.
• [8] Dhara B., Ali S., On multiplicative (generalized) derivation in prime and semiprime rings, Aequat. Math., 86(2013), 65-79.
• [9] Goldman H., Semrl P., Multiplicative derivations on C(X), Monatsh Math., 121(3)(1996), 189-197.
• [10] Gölbaşi Ö., On prime near-rings with generalized (σ; ϫ)-derivations, Kyungpook Math. J., 45(2005), 249-254.
• [11] Koç E., Notes on the commutativity of prime rings, Miskolc Math. Notes, 12(2)(2011), 193-200.
• [12] Martindale III W.S., When are multiplicative maps additive?, Proc. Amer. Math. Soc., 21(1969), 695-698.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.