Generalized (; )-derivations and Left Ideals in Prime and Semiprime Rings

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 2

Abstract

Let R be an associative ring, ; be the automorphisms of R, be a nonzero left ideal of R, F : R ! R be a generalized (; )-derivation and d : R ! Rbe an (; )-derivation. In the present paper we discuss the following situations: (i) F(xoy) = a(xy yx), (ii) F([x; y]) = a(xy yx), (iii) d(x)od(y) = a(xy yx) forall x; y 2 and a 2 f0; 1;ô€€€1g. Also some related results have been obtained.

Authors and Affiliations

Asma Ali, Hamidur Rahaman

Keywords

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  • EP ID EP651778
  • DOI 10.24297/jam.v13i2.6024
  • Views 181
  • Downloads 0

How To Cite

Asma Ali, Hamidur Rahaman (2017). Generalized (; )-derivations and Left Ideals in Prime and Semiprime Rings. JOURNAL OF ADVANCES IN MATHEMATICS, 13(2), 7163-7167. https://europub.co.uk/articles/-A-651778