-歪斜-麦考伊环

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2013-08-01 DOI:10.1155/2013/309392

Areej M. Abduldaim, Sheng Chen

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引用次数: 6

摘要

作为-skew -McCoy环的推广，我们引入了-skew -McCoy环的概念，并研究了它与-skew -McCoy环和-skew -McCoy环的关系，观察了它们与-skew -McCoy环、-McCoy环、-skew Armendariz环、-正则环和其他环的关系。此外，我们还研究了-歪斜-McCoy环暗示-歪斜-McCoy环和-歪斜-McCoy环的条件。我们证明了在非约简环的情况下，如果是2-原环，则是-偏mccoy环。设为弱()相容环;如果是-skew -McCoy环，则是-skew -McCoy环。

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-Skew -McCoy Rings

As a generalization of -skew McCoy rings, we introduce the concept of -skew -McCoy rings, and we study the relationships with another two new generalizations, -skew -McCoy rings and -skew -McCoy rings, observing the relations with -skew McCoy rings, -McCoy rings, -skew Armendariz rings, -regular rings, and other kinds of rings. Also, we investigate conditions such that -skew -McCoy rings imply -skew -McCoy rings and -skew -McCoy rings. We show that in the case where is a nonreduced ring, if is 2-primal, then is an -skew -McCoy ring. And, let be a weak ()-compatible ring; if is an -skew -McCoy ring, then is -skew -McCoy.

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.