[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2008.45.3.741

ON SB-RINGS

Chen, Huanyin (Department of Mathematics Hunan Normal University)

Publication Information

Journal of the Korean Mathematical Society / v.45, no.3, 2008 , pp. 741-756 More about this Journal

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;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference

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