a-minimal sets and related topics in transformation semigroups (I)

We deal with a-minimal sets instead of minimal right ideals of the enveloping semigroup and obtain a partition of disjoint isomorphic subgroups of some of its subsets. We also give some generalizations of almost periodicity and distality in the transformation semigroups and obtain similar results.

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Bibliographic Details
Main Authors: Masoud Sabbaghan, Fatemah Ayatollah Zadeh Shirazi
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120100388X
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author Masoud Sabbaghan
Fatemah Ayatollah Zadeh Shirazi
author_facet Masoud Sabbaghan
Fatemah Ayatollah Zadeh Shirazi
author_sort Masoud Sabbaghan
collection DOAJ
description We deal with a-minimal sets instead of minimal right ideals of the enveloping semigroup and obtain a partition of disjoint isomorphic subgroups of some of its subsets. We also give some generalizations of almost periodicity and distality in the transformation semigroups and obtain similar results.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2001-01-01
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record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8ea47351ec1d405d8a6bd42c4d90a0a62025-02-03T01:11:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01251063765410.1155/S016117120100388Xa-minimal sets and related topics in transformation semigroups (I)Masoud Sabbaghan0Fatemah Ayatollah Zadeh Shirazi1Department of Mathematics, Faculty of Science, The University of Tehran, Enghelab Ave., Tehran, IranDepartment of Mathematics, Faculty of Science, The University of Tehran, Enghelab Ave., Tehran, IranWe deal with a-minimal sets instead of minimal right ideals of the enveloping semigroup and obtain a partition of disjoint isomorphic subgroups of some of its subsets. We also give some generalizations of almost periodicity and distality in the transformation semigroups and obtain similar results.http://dx.doi.org/10.1155/S016117120100388X
spellingShingle Masoud Sabbaghan
Fatemah Ayatollah Zadeh Shirazi
a-minimal sets and related topics in transformation semigroups (I)
International Journal of Mathematics and Mathematical Sciences
title a-minimal sets and related topics in transformation semigroups (I)
title_full a-minimal sets and related topics in transformation semigroups (I)
title_fullStr a-minimal sets and related topics in transformation semigroups (I)
title_full_unstemmed a-minimal sets and related topics in transformation semigroups (I)
title_short a-minimal sets and related topics in transformation semigroups (I)
title_sort a minimal sets and related topics in transformation semigroups i
url http://dx.doi.org/10.1155/S016117120100388X
work_keys_str_mv AT masoudsabbaghan aminimalsetsandrelatedtopicsintransformationsemigroupsi
AT fatemahayatollahzadehshirazi aminimalsetsandrelatedtopicsintransformationsemigroupsi