2008
DOI: 10.1016/j.jpaa.2007.05.020
|View full text |Cite
|
Sign up to set email alerts
|

Strongly clean matrix rings over commutative local rings

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

0
55
0
1

Year Published

2008
2008
2021
2021

Publication Types

Select...
10

Relationship

0
10

Authors

Journals

citations
Cited by 44 publications
(56 citation statements)
references
References 16 publications
0
55
0
1
Order By: Relevance
“…By hypothesis, e is a projection of R. So S is a * -ring. It is well known that S is strongly π-regular (see also [4,Lemma 39]). Clearly, every idempotent of S (⊆ R) is a projection.…”
Section: Strongly π- * -Regular Ringsmentioning
confidence: 99%
“…By hypothesis, e is a projection of R. So S is a * -ring. It is well known that S is strongly π-regular (see also [4,Lemma 39]). Clearly, every idempotent of S (⊆ R) is a projection.…”
Section: Strongly π- * -Regular Ringsmentioning
confidence: 99%
“…Recently, strong cleanness has been extensively studied in the literature (cf. [1][2][3][4][5], [8], [10], [12], [13]). As is well known by [9] that, every 2×2 matrix A over a field satisfies the conditions: A = E + W, E is similar to a diagonal matrix, W ∈ M 2 (R) is nilpotent and E and W commute.…”
Section: Introductionmentioning
confidence: 99%
“…Such rings are extensively studied by many authors from very different view points (cf. [1,3,4,7,9,10,11,12,13,14]). We say that an ideal I of a ring R is strongly π-regular provided that for any x ∈ I there exist n ∈ N, y ∈ I such that x n = x n+1 y.…”
Section: Introductionmentioning
confidence: 99%