Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON SB-RINGS

  • Chen, Huanyin (Department of Mathematics Hunan Normal University)
  • Published : 2008.05.31
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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.

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References

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Cited by

  1. On Rings with the Goodearl–Menal Condition vol.40, pp.12, 2012, https://doi.org/10.1080/00927872.2011.618856