Authors :
Dr. K. L Kaushik
Volume/Issue :
Volume 5 - 2020, Issue 8 - August
Google Scholar :
http://bitly.ws/9nMw
Scribd :
https://bit.ly/3hmUHqP
DOI :
10.38124/IJISRT20AUG277
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Abstract :
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.
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.
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