ON A COMPLETE TOPOLOGICAL INVERSE POLYCYCLIC MONOID

Abstract

We give sufficient conditions when a topological inverse l-polycyclic monoid Pl is absolutely Hclosed in the class of topological inverse semigroups. For every infinite cardinal l we construct the coarsest semigroup inverse topology tmi on Pl and give an example of a topological inversemonoid S which contains the polycyclic monoid P2 as a dense discrete subsemigroup.

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  • EP ID EP210644
  • DOI 10.15330/cmp.8.2.183-194
  • Views 54
  • Downloads 0

How To Cite

(2016). ON A COMPLETE TOPOLOGICAL INVERSE POLYCYCLIC MONOID. Карпатські математичні публікації, 8(1), 183-194. https://europub.co.uk/articles/-A-210644