Turkish Journal of Mathematics
DOI

Abstract
Let R be a prime ring. Let \sigma , \tau be two homomorphisms and d be a (\sigma,\tau)derivation of R. The purpose of this paper is to prove two results: (i) If char R \neq 2, U is a nonzero ideal of R, \sigma is subjective such that \sigma (U) \neq 0, \tau is an automorphism and [d(U), d(U)]_{\sigma,\tau} = 0, then \sigma^2 = \tau^2 and \sigma \tau = \tau \sigma. (ii) Under the assumptions that either char R = 0 or char R > max {2,n}, U is a nonzero right ideal, and \sigma, \tau are automorphisms of R, suppose [d(x),x^n]_{\sigma,\tau} \subseteq C_{\sigma,\tau} for all x \in U, then \sigma = \tau .
First Page
45
Last Page
49
Recommended Citation
DENG, Q.; YENİGÜL, M. Ş.; and ARGAÇ, N. (1997) "On ideals of Prime Rings with (\sigma, \tau) Derivations," Turkish Journal of Mathematics: Vol. 21: No. 5, Article 4. Available at: https://journals.tubitak.gov.tr/math/vol21/iss5/4