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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Chains which are coset spaces of $tl$-groups
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by Robert L. Madell
Proc. Amer. Math. Soc. 25 (1970), 755-759
DOI: https://doi.org/10.1090/S0002-9939-1970-0263716-7

Abstract:

Let $G$ be a lattice-ordered group with a topology with which $G$ is a Hausdorff topological group and topological lattice. Let $N$ be a closed prime convex $l$-subgroup of $G$ and let $G/N$ denote the topological chain of right cosets of $N$. It is shown that if $G$ is locally compact, locally connected, or locally convex then $G/N$ is either discrete or has precisely the interval topology.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 755-759
  • MSC: Primary 06.75
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0263716-7
  • MathSciNet review: 0263716