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- Title
PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS.
- Authors
CUI, JIAN; CHEN, JIANLONG
- Abstract
A ring R is called pseudopolar if for every a ∈ R there exists p2 = p ∈ R such that p ∈ 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.
- Subjects
MATRICES (Mathematics); LOCAL rings (Algebra); EXISTENCE theorems; RINGS of integers; VON Neumann regular rings; ALGEBRAIC number theory; MATHEMATICAL analysis
- Publication
Journal of Algebra & Its Applications, 2014, Vol 13, Issue 3, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498813501090