中心 McCoy 环

王文康

doi:10.3969/j.issn.1000-5641.2015.03.009

中心 McCoy 环

doi: 10.3969/j.issn.1000-5641.2015.03.009

王文康

1.
西北民族大学数学与计算机科学学院, 兰州 730124

详细信息

作者简介:
王文康, 女, 教授, 研究方向为代数学

中图分类号: O153.3
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- 被引次数: 0
出版历程
- 收稿日期: 2014-04-17
- 刊出日期: 2015-05-25

Central McCoy rings

WANG Wen-kang

摘要

摘要: 给出了中心McCoy环的性质. 证明了: 环R是中心McCoy环当且仅当R是中心McCoy环当且仅当R[x是中心McCoy环. 设R 是右Ore环, Q是它的右商环,如果R是中心McCoy环, 那么Q是中心McCoy环.
- McCoy环中心McCoy环 /
- 中心环 /
- 上三角矩阵环
Abstract: Central McCoy rings are a generalization of McCoy rings,and its properties were investigated. We showed that a ring R is central McCoy if and only if R[x] is central McCoy, and if and only if R[x] is central McCoy, where (xn) is theideal generated by xn and n is a positive integer. We get that for a right Ore ring R with Q its classical right quotient ring, if R is central McCoy, then Q is also centralMcCoy.
- McCoy ring central McCoy ring central Armendarizringupper triangular matrix ring /

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参考文献(1)

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