Theorems on compact totally disconnected semigroups and lattices

Numakura, Katsumi

doi:10.1090/S0002-9939-1957-0087032-5

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)

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Theorems on compact totally disconnected semigroups and lattices
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by Katsumi Numakura

Proc. Amer. Math. Soc. 8 (1957), 623-626

DOI: https://doi.org/10.1090/S0002-9939-1957-0087032-5

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References

Garrett Birkhoff, Lattice Theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. 25, American Mathematical Society, New York, N. Y., 1948. MR 0029876
R. J. Koch and A. D. Wallace, Maximal ideals in compact semigroups, Duke Math. J. 21 (1954), 681–685. MR 63381
A. D. Wallace, The structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955), 95–112. MR 67907, DOI 10.1090/S0002-9904-1955-09895-1

Retractions in semigroups

The center of a compact Hausdorff lattice is totally disconnected