Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2006 / Cilt: 55 - Sayı: 01 #74271
Ore extensions of zip and reversible rings
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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 (1) R is a right zip ring if and only if the Ore extension R[x;a, <5) is a right zip ring. (2) R is a reversible ring if and only if the Ore extension R[a:; a, 5] is a reversible ring.