On strongly power-serieswise McCoy rings

WANG Wen-kang

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Jul. 2014

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WANG Wen-kang. On strongly power-serieswise McCoy rings[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 60-76.

Citation:

WANG Wen-kang. On strongly power-serieswise McCoy rings[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 60-76.

WANG Wen-kang. On strongly power-serieswise McCoy rings[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 60-76.

Citation:

WANG Wen-kang. On strongly power-serieswise McCoy rings[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 60-76.

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On strongly power-serieswise McCoy rings

WANG Wen-kang

1.
School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730124, China

Received Date: 2013-05-01
Rev Recd Date: 2013-08-01
Publish Date: 2014-05-25

Abstract

Abstract

In this paper, we introduce strongly power-serieswise McCoy rings, which are a generalization of power-serieswise McCoy rings and strongly McCoy rings, and investigate their properties. Let R be a ring and I an ideal of R such that I is reduced, we show that if R/I is strongly power-serieswise McCoy(resp., power-serieswise McCoy), then R is strongly power-serieswise McCoy(resp., power-serieswise McCoy). A ring R is power-serieswise McCoy if and only if R[x] is power-serieswise McCoy. We find that a class of strongly power-serieswise McCoy rings of upper triangular matrix ring over strongly power-serieswise McCoy rings. Meanwhile, we show that power-serieswise Armendariz rings and reduced rings are strongly power-serieswise McCoy rings.
- McCoy ring,
- strongly McCoy ring,
- power-serieswise McCoy ring,
- strongly power-serieswise McCoy ring,
- upper triangular matrix ring

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References(1)

References

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