A Note about Congruences on Subsemigroups of Groups |
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| Authors: | Brigitte E Breckner and Wolfgang A F Ruppert |
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| Institution: | (1) Babeş-Bolyai University Faculty of Mathematics and Computer Science Str. M. Kogălniceanu 1 RO-3400 Cluj-Napoca, Romania brigitte@math.ubbcluj.ro, RO;(2) Institut für Mathematik und Angewandte Statistik Universit?t für Bodenkultur Peter Jordanstr. 82 A-1190 Wien, Austria ruppert@edv1.boku.ac.at , JO |
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| Abstract: | A well known elementary argument shows that a totally disconnected normal subgroup of a connected topological group is central,
in 2] K. H. Hofmann has shown that by a skillful application of this argument (or variations of it) a much wider class of
interesting centrality results can be obtained. In the present paper we offer a modification of the argument also applying
to congruences on subsemigroups of topological groups. |
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