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Stable range of aleph-nought-continuou regular rings

Part of the Lecture Notes in Mathematics book series (LNM,volume 1328)

Abstract

In this paper we show that if R is a right ℵ0-continuous regulan ring, then the set of possible values fon the stable range of R, sr(R), is {1,2,∞}. Furthen, sr(R)=1 if and only if R is directly finite, and sr(R)⩽2 if and only if R is an Hermite ring.

This work was partially supported by CAICYT grant 3556/83.

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References

  1. P. Ara, Aleph-nought-continuous regular rings, J.Algebra, 109 (1987), 115–126.

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© 1988 Springer-Verlag

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Ara, P. (1988). Stable range of aleph-nought-continuou regular rings. In: Bueso, J.L., Jara, P., Torrecillas, B. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100909

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  • DOI: https://doi.org/10.1007/BFb0100909

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19474-3

  • Online ISBN: 978-3-540-39278-1

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