On the S-Invariance Property for S-Flows

We define an equivalence relation on a topological space which is acted by topological monoid S as a transformation semigroup. Then, we give some results about the S-invariant classes for this relation. We also provide a condition for the existence of relative S-invariant classes.

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Bibliographic Details
Main Authors: Amin Saif, Adem Kılıçman
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/375014
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author Amin Saif
Adem Kılıçman
author_facet Amin Saif
Adem Kılıçman
author_sort Amin Saif
collection DOAJ
description We define an equivalence relation on a topological space which is acted by topological monoid S as a transformation semigroup. Then, we give some results about the S-invariant classes for this relation. We also provide a condition for the existence of relative S-invariant classes.
format Article
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institution Kabale University
issn 1085-3375
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language English
publishDate 2010-01-01
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record_format Article
series Abstract and Applied Analysis
spelling doaj-art-b9886e327c5b484598701a8fd2a8ae3c2025-02-03T01:20:37ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/375014375014On the S-Invariance Property for S-FlowsAmin Saif0Adem Kılıçman1Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaWe define an equivalence relation on a topological space which is acted by topological monoid S as a transformation semigroup. Then, we give some results about the S-invariant classes for this relation. We also provide a condition for the existence of relative S-invariant classes.http://dx.doi.org/10.1155/2010/375014
spellingShingle Amin Saif
Adem Kılıçman
On the S-Invariance Property for S-Flows
Abstract and Applied Analysis
title On the S-Invariance Property for S-Flows
title_full On the S-Invariance Property for S-Flows
title_fullStr On the S-Invariance Property for S-Flows
title_full_unstemmed On the S-Invariance Property for S-Flows
title_short On the S-Invariance Property for S-Flows
title_sort on the s invariance property for s flows
url http://dx.doi.org/10.1155/2010/375014
work_keys_str_mv AT aminsaif onthesinvariancepropertyforsflows
AT ademkılıcman onthesinvariancepropertyforsflows