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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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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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 |
id | doaj-art-b9886e327c5b484598701a8fd2a8ae3c |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2010-01-01 |
publisher | Wiley |
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 |