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UNIT-REGULARITY AND STABLE RANGE ONE
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 Title & Authors
UNIT-REGULARITY AND STABLE RANGE ONE
Chen, Huanyin;
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 Abstract
Let R be a ring, and let (R) be the ideal generated by the set {x R | 1 + sxt R is unit-regular for all s, t R}. We show that (R) has "radical-like" property. It is proven that (R) has stable range one. Thus, diagonal reduction of matrices over such ideal is reduced.
 Keywords
unit-regularity;stable range one;diagonal reduction;
 Language
English
 Cited by
1.
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Jacobson’s Lemma via Gröbner-Shirshov Bases, Algebra Colloquium, 2017, 24, 02, 309  crossref(new windwow)
3.
Inner inverses and inner annihilators in rings, Journal of Algebra, 2014, 397, 91  crossref(new windwow)
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