On continuity of homomorphisms between topological Clifford semigroups

Authors

  • I. Pastukhova Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
https://doi.org/10.15330/cmp.6.1.123-129

Keywords:

ditopological unosemigroup, Clifford semigroup, topological semilattice
Published online: 2014-07-15

Abstract

Generalizing an old result of Bowman we prove that a homomorphism f:X→Y between topological Clifford semigroups is continuous if

  • the idempotent band EX={x∈X:xx=x} of X is a V-semilattice;
  • the topological Clifford semigroup Y is ditopological;
  • the restriction f|EX is continuous;
  • for each subgroup H⊂X the restriction f|H is continuous.
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How to Cite
(1)
Pastukhova, I. On Continuity of Homomorphisms Between Topological Clifford Semigroups. Carpathian Math. Publ. 2014, 6, 123-129.