Maximal and minimal ring topologies-Reference-Cited by-同舟云学术

Maximal and minimal ring topologies

Published:1978 Issue:1 Volume:68 Page:23-26
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Shell Niel

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-068-01/S0002-9939-1978-0460305-3/S0002-9939-1978-0460305-3.pdf

Reference6 articles.

1. Ring topologies on the quotient field of a Dedekind domain;Heine, J.;Duke Math. J.,1973

2. Integer topologies;Hinrichs, Lowell A.;Proc. Amer. Math. Soc.,1964

3. Inductive ring topologies;Kiltinen, John O.;Trans. Amer. Math. Soc.,1968

4. Topologies on the rational field;Shanks, M. E.;Bull. Amer. Math. Soc.,1973

5. Non-Archimedean orthogonality;Shilkret, Niel;Arch. Math. (Basel),1976

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