Remarks on *-(σ, τ)-Lie ideals of *-prime rings with derivation

• Autorzy: Sögütcü E. K. , Aydin N. , Gölbaşi Ö.

Identyfikatory

DOI

10.1515/fascmath-2018-0010

• Języki publikacji: EN

Abstrakty

EN

Let R be a *- prime ring with characteristic not 2, U a nonzero *- (σ, τ)-Lie ideal of R, d a nonzero derivation of R. Suppose σ, τ be two automorphisms of R such that σd = dσ, τd = dτ and * commutes with σ, τ, d. In the present paper it is shown that if d(U) ⊆ Z or d² (U) ⊆ Z, then U ⊆ Z.

Słowa kluczowe

EN

prime ring; derivation; (σ,τ) - Lie ideal; involution

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 60
• Strony: 161--171
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Sögütcü E. K.

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

autor

Aydin N.

• Canakkale 18 Mart University Faculty of Arts and Science Department of Mathematics Canakkale, Turkey

autor

Gölbaşi Ö.

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

Bibliografia

• [1] Aydin N., Soytürk M., (σ,τ)-Lie ideals in prime rings with derivation, Doğa- Tr. J. of Math., 19(1995), 239-244.
• [2] Aydin N., Koç E., Gölbaşi Ö., On * - (σ,τ)-Lie Ideals Of *-Prime Rings With Derivation, Hacettepe Journal of Math. and Statistics, DOI: 10.15672/HJMS.2017.501.
• [3] Bergen J., Herstein I.N., Kerr J.W., Lie ideals and derivations of prime rings, J. of Algebra, 71(1981), 259-267.
• [4] Kaya K., (σ,τ)-Lie ideals in prime rings, An. Üniv. Timisoara, Stiinte Mat., 30(2-3)(1992), 251-255.
• [5] Lee P.H., Lee T.K., Lie ideals of prime rings with derivations, Bull. Inst. Math., Acad. Sin., 11(1983), 75-80.
• [6] Oukhtite L., Salhi S., On commutativity of σ-prime rings, Glasnik Mathematicki, 41(61)(2006), 57-64.
• [7] Oukhtite L., Salhi S., σ-prime rings with a special kind of automorphism, International Journal Contemp Math. Sci., 2(3)(2007), 127-133.
• [8] Oukhtite L., Salhi S., Lie ideals and derivations of σ-prime rings, International Jornal of Algebra, 1(1)(2007), 25-30.
• [9] Oukhtite L., Salhi S., Centralizing automorphisms and Jordan left derivations on *-prime rings, Advances in Algebra, 1(1), (2008), 19-26.
• [10] Posner E.C., Derivations in prime rings, Proc. Amer. Soc., 8(1957), 1093-1100.
• [11] Soytürk M., (σ,τ)-Lie ideals in prime rings with derivation, Turkish Journal of Math., 20(1993), 239-244.
• [12] Türkmen S., Aydin N., Generalized *-Lie ideal of *-prime rings, Turkish Journal of Math., DOI: 10.3906/mat-1408-52.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).