Reductive compactifications of semitopological semigroups

Reductive compactifications of semitopological semigroups

We consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again. In this way, we introduce the notion of E-algebra, and show tha...

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Main Authors: Abdolmajid Fattahi, Mohamad Ali Pourabdollah, Abbas Sahleh
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203202052
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spelling doaj-3f3b64100e8549d581134686293ab0332020-11-25T00:13:12ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003513277328010.1155/S0161171203202052Reductive compactifications of semitopological semigroupsAbdolmajid Fattahi0Mohamad Ali Pourabdollah1Abbas Sahleh2Department of Mathematics, Faculty of Science, Razi University, Kermanshah, IranFaculty of Mathematics, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, IranDepartment of Mathematics, Guilan University, Rasht, IranWe consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again. In this way, we introduce the notion of E-algebra, and show that this notion is closely related to the reductivity of the semigroup compactification involved. Moreover, the structure of the universal Eℱ-compactification is also given.http://dx.doi.org/10.1155/S0161171203202052
collection DOAJ
language English
format Article
sources DOAJ
author Abdolmajid Fattahi
Mohamad Ali Pourabdollah
Abbas Sahleh
spellingShingle Abdolmajid Fattahi
Mohamad Ali Pourabdollah
Abbas Sahleh
Reductive compactifications of semitopological semigroups
International Journal of Mathematics and Mathematical Sciences
author_facet Abdolmajid Fattahi
Mohamad Ali Pourabdollah
Abbas Sahleh
author_sort Abdolmajid Fattahi
title Reductive compactifications of semitopological semigroups
title_short Reductive compactifications of semitopological semigroups
title_full Reductive compactifications of semitopological semigroups
title_fullStr Reductive compactifications of semitopological semigroups
title_full_unstemmed Reductive compactifications of semitopological semigroups
title_sort reductive compactifications of semitopological semigroups
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description We consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again. In this way, we introduce the notion of E-algebra, and show that this notion is closely related to the reductivity of the semigroup compactification involved. Moreover, the structure of the universal Eℱ-compactification is also given.
url http://dx.doi.org/10.1155/S0161171203202052
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AT mohamadalipourabdollah reductivecompactificationsofsemitopologicalsemigroups
AT abbassahleh reductivecompactificationsofsemitopologicalsemigroups
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