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math.GRApr 9, 2008
19
citations (OpenAlex)
authors
  • Oleg Gutik
  • Dušan Repovš
institutions
  • Institute of Mathematics, Physics, and Mechanics
  • Lviv University
  • University of Ljubljana
arXiv abstractPDF
paper

On countably compact 0-simple topological inverse semigroups

arXiv:0804.1437 · doi:10.1007/s00233-007-0706-x

Abstract

We describe the structure of 0-simple countably compact topological inverse semigroups and the structure of congruence-free countably compact topological inverse semigroups.

Cited by in corpus (6)

  • Embedding the bicyclic semigroup into countably compact topological semigroups
  • The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups
  • On locally compact semitopological 0-bisimple inverse ω-semigroups
  • On the Brandt λ0-extensions of monoids with zero
  • Topological monoids of monotone injective partial selfmaps of N with cofinite domain and image
  • On some generalization of the bicyclic semigroup: the topological version
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