PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS-Reference-Cited by-同舟云学术

PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS

Published:2013-10-31 Issue:03 Volume:13 Page:1350109
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

CUI JIAN¹,CHEN JIANLONG²

Affiliation:

1. Department of Mathematics, Anhui Normal University, Wuhu 241000, P. R. China

2. Department of Mathematics, Southeast University, Nanjing 210096, P. R. China

Abstract

A ring R is called pseudopolar if for every a ∈ R there exists p2 = p ∈ R such that p ∈ comm 2(a), a + p ∈ U(R) and akp ∈ J(R) for some positive integer k. Pseudopolar rings are closely related to strongly π-regular rings, uniquely strongly clean rings, semiregular rings and strongly π-rad clean rings. In this paper, we completely characterize the local rings R for which M2(R) is pseudopolar.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498813501090

Reference17 articles.

1. Strongly clean triangular matrix rings over local rings

2. Strongly clean matrix rings over commutative local rings

3. On Strongly Clean Matrix and Triangular Matrix Rings

4. When is the 2×2 matrix ring over a commutative local ring strongly clean?

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