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On a generalization of McCoy rings

이양|곽태근|Victor Camillo
대한수학회 (The Korean Mathematical Society)|2013.09|대한수학회지 (Journal of the KMS)|제50권 제5호|pp. 959-972

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참고문헌

키워드

NI ringpolynomial ringright (NC-)McCoy ringminimal right NC-McCoy ring
주제분류수학

초록

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.

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.

참고문헌 (31)

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