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http://dx.doi.org/10.4134/JKMS.2013.50.5.959

ON A GENERALIZATION OF MCCOY RINGS  

Camillo, Victor (Department of Mathematics The University of Iowa)
Kwak, Tai Keun (Department of Mathematics Daejin University)
Lee, Yang (Department of Mathematics Pusan National University)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 959-972 More about this Journal
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 right nilpotent coefficient McCoy ring (simply, a 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;
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