J. Korean Math. Soc. 2013; 50(5): 959-972
Printed September 1, 2013
https://doi.org/10.4134/JKMS.2013.50.5.959
Copyright © The Korean Mathematical Society.
Victor Camillo, Tai Keun Kwak, and Yang Lee
The University of Iowa, Daejin University, Pusan National University
Rege-Chhawchharia, and Nielsen introduced the concept of right McCoy ring, based on the McCoy's theorem in 1942 for the annihilators in polynomial rings over commutative rings. In the present note we concentrate on a natural generalization of a right McCoy ring that is called a {\it right nilpotent coefficient McCoy} ring (simply, a {\it right NC-McCoy} ring). The structure and several kinds of extensions of right NC-McCoy rings are investigated, and the structure of minimal right NC-McCoy rings is also examined.
Keywords: right (NC-)McCoy ring, polynomial ring, NI ring, minimal right NC-McCoy ring
MSC numbers: 16N40, 16U80
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