On H-closed topological semigroups and semilattices

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2007
• Hauptverfasser: Chuchman, I., Gutik, O.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/157357
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...