On H-closed topological semigroups and semilattices

dc.contributor.author	Chuchman, I.
dc.contributor.author	Gutik, O.
dc.date.accessioned	2019-06-20T02:46:23Z
dc.date.available	2019-06-20T02:46:23Z
dc.date.issued	2007
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 06A12, 06F30; 22A15, 22A26, 54H12.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/157357
dc.description.abstract	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 topological semilattice and any H-closed topological weakly U-semilattice contain minimal idempotents. An example of a countably compact topological semilattice whose topological space is H-closed is constructed.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On H-closed topological semigroups and semilattices	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA