Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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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.

On a generalization of McCoy rings

Victor Camillo, Tai Keun Kwak, and Yang Lee

The University of Iowa, Daejin University, Pusan National University

Abstract

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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