SOME RESULTS ON LEFT (sigma, T) IDEALS AND ONE SIDED GENERALIZED DERIVATIONS

Güven E.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, vol.9, pp.22-29, 2019 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 9
  • Publication Date: 2019
  • Journal Name: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.22-29
  • Kocaeli University Affiliated: Yes

Abstract

Let R be a prime ring with characteristic not 2 and sigma, tau, alpha, beta, lambda,mu,gamma automorphisms of R. Let h : R -> R be a nonzero left (resp. right)- generalized (alpha, beta)- derivation associated with (alpha, beta)- derivation d(1) (resp. d). Let W, V be nonzero left (sigma, tau)-Jordan ideals of R and I a nonzero ideal of R. In this paper we also study the situations. (1) ah(R)b subset of C-lambda,C-mu(R) (2) bh(I, a)(sigma, tau) = 0 or h(I, a)(sigma,tau)b = 0, (3) bh(I) subset of C-lambda,C-mu(W) or h(I)b subset of C-lambda,C-mu(W), (4) h(I) subset of C-lambda,C-mu(J), (5) (h(R),a)(alpha,beta) subset of C-alpha,C-beta (R), (6) (h(I)b,a)(lambda,mu) = 0, (7) b gamma(W) subset of C-lambda,C-mu (V) or gamma(W)b subset of C-lambda,C-mu(V).