On H-closed topological semigroups and semilattices

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Authors: Chuchman, I., Gutik, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157357
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On H-closed topological semigroups and semilattices / I. Chuchman, O. Gutik // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 13–23. — Бібліогр.: 10 назв. — англ.

In this paper, we show that if S is an H-closed topological semigroup and e is an idempotent of S, then eSe is an H-closed topological semigroup. We give sufficient conditions on a linearly ordered topological semilattice to be H-closed. Also we prove that any H-closed locally compact topologica...