Ore extensions of zip and reversible rings

Authors : Muhiddin BAŞER

Pages : 0-0

Doi:10.1501/Commua1_0000000311

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Publication Date : 2006-01-01

Article Type : Research Paper

Abstract :We investigate Ore extensions zip and reversible rings. Let a be an endomorphism and 5 an a-derivation of a ring R. Assume that R is an a-rigid ring. Then insert ignore into journalissuearticles values(1); R is a right zip ring if and only if the Ore extension R[x;a, <5); is a right zip ring. insert ignore into journalissuearticles values(2); R is a reversible ring if and only if the Ore extension R[a:; a, 5] is a reversible ring.
Keywords : Ore extensions, zip, reversible rings