THE McCOY CONDITION ON SKEW POLYNOMIAL RINGS

被引：23

作者：

Baser, Muhittin ^{[2
]}

Kwak, Tai Keun ^{[3
]}

Lee, Yang ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

[2] Afyon Kocatepe Univ, Dept Math, Afyon, Turkey

[3] Daejin Univ, Dept Math, Pochon, South Korea

来源：

COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 11期

关键词：

McCoy ring; (skew) Polynomial ring; (sigma-)Reversible ring; sigma-Skew McCoy ring; ARMENDARIZ RINGS; EXTENSIONS;

D O I：

10.1080/00927870802545661

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on a theorem of McCoy on commutative rings, Nielsen called a ring R right McCoy if, for any nonzero polynomials f(x), g(x) over R, f(x)g(x) = 0 implies f(x)r = 0 for some 0 not equal r is an element of R. In this note, we consider a skew version of these rings, called sigma-skew McCoy rings, with respect to a ring endomorphism sigma. When sigma is the identity endomorphism, this coincides with the notion of a right McCoy ring. Basic properties of sigma-skew McCoy rings are observed, and some of the known results on right McCoy rings are obtained as corollaries.

引用

页码：4026 / 4037

页数：12

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