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Directly finite ℵ0-complete regular rings are unit-regular

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

Abstract

Goodearl proved that directly finite right ℵ0-continuous regular rings are unit-regular. In this paper we prove the analogous result for ℵ0-complete regular rings. Also we use this result to prove that complete regular rings of type If are right and left continuous, which answers in a particular case a question of Handelman.

This work was partially supported by CAICYT grant 3556/83

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References

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© 1988 Springer-Verlag

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Busque, C. (1988). Directly finite ℵ0-complete regular rings are unit-regular. 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/BFb0100913

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  • DOI: https://doi.org/10.1007/BFb0100913

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19474-3

  • Online ISBN: 978-3-540-39278-1

  • eBook Packages: Springer Book Archive