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ON SB-RINGS
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 Title & Authors
ON SB-RINGS
Chen, Huanyin;
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 Abstract
In this paper, we introduce a new class of rings, SB-rings. We establish various properties of this concept. These shows that, in several respects, SB-rings behave like rings satisfying unit 1-stable range. We will give necessary and sufficient conditions under which a semilocal ring is a SB-ring. Furthermore, we extend these results to exchange rings with all primitive factors artinian. For such rings, we observe that the concept of the SB-ring coincides with Goodearl-Menal condition. These also generalize the results of Huh et al., Yu and the author on rings generated by their units.
 Keywords
SB-ring;semilocal ring;exchange ring;
 Language
English
 Cited by
1.
On Rings with the Goodearl–Menal Condition, Communications in Algebra, 2012, 40, 12, 4679  crossref(new windwow)
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