Maximal and minimal ring topologies

Shell, Niel

doi:10.1090/S0002-9939-1978-0460305-3

Maximal and minimal ring topologies
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by Niel Shell

Proc. Amer. Math. Soc. 68 (1978), 23-26

DOI: https://doi.org/10.1090/S0002-9939-1978-0460305-3

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Abstract:

An explicit description is given of a nondiscrete ring topology on the field Q of rational numbers which is strictly finer than the locally bounded topology on Q having the ring of integers as a preorder. It is observed that either there exist nonvaluable minimal ring topologies or there exist ring topologies containing no minimal ring topologies.

References

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