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

Asma Ali | Zendy; Hamidur Rahaman | Zendy

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

Author(s) -

Asma Ali,

Hamidur Rahaman

Publication year - 2017

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v13i2.6024

Subject(s) - mathematics , semiprime ring , semiprime , automorphism , prime (order theory) , ideal (ethics) , associative property , pure mathematics , associated prime , ring (chemistry) , prime ring , combinatorics , philosophy , chemistry , organic chemistry , epistemology

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.

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