ENDOMORPHISMS WITH CENTRAL ON PRIME RINGS WITH INVOLUTION

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International Electronic Journal of Algebra
Volume:28 Issue:28
ENDOMORPHISMS WITH CENTRAL ON PRIME RINGS WITH INVOLUTION

ENDOMORPHISMS WITH CENTRAL ON PRIME RINGS WITH INVOLUTION

Authors : L OUKHTITE, H EL MIR, B NEJJAR

Pages : 127-140

Doi:10.24330/ieja.768202

View : 41 | Download : 9

Publication Date : 2020-07-14

Article Type : Research Paper

Abstract :In this paper we present some commutativity theorems for prime rings $R$ with involution $\ast$ of the second kind in which endomorphisms satisfy certain algebraic identities. Furthermore, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous. $~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$
Keywords : Prime ring, involution, commutativity, endomorphism

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