Generalised Inner Derivations in Semi Prime Rings | Zendy

K. L Kaushik | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Generalised Inner Derivations in Semi Prime Rings

Author(s) -

K. L Kaushik

Publication year - 2020

Publication title -

international journal of innovative science and research technology (ijisrt)

Language(s) - English

Resource type - Journals

ISSN - 2456-2165

DOI - 10.38124/ijisrt20aug277

Subject(s) - prime (order theory) , lemma (botany) , mathematics , ring (chemistry) , combinatorics , element (criminal law) , prime ring , chemistry , ecology , poaceae , organic chemistry , political science , law , biology

Let A be any ring and f(xy) = f(x)y+xha(y), where f be any generalised inner derivation(G.I.D ) a be the fixed element of A. In this paper, it is shown that (i) ha must necessarily be a derivation for semi prime ring A. (ii) ∃ no generalized inner derivations f : A → A such that f(x ◦ y) = x ◦ y or f(x ◦ y) + x ◦ y = 0 ∀ x,y ∈ A, We have proved Havala [2] def. p.1147, Herstein [3] Lemma 3.1 p. 1106 as corollaries, along with other results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research