On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup
The structure space of a semigroup endowed with hull kernel topology is introduced and studied. Also the structure space of a Г -semigroup is defined and a homeomorphism has been established between structure space of a Г -semigroup and the structure space of its left operator semigroup. Moreover, v...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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University of Zielona Góra
2022-03-01
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Series: | Discussiones Mathematicae - General Algebra and Applications |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgaa.1379 |
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author | Goswami Sarbani Mukherjee Mandal Manasi Khanra Biswaranjan |
author_facet | Goswami Sarbani Mukherjee Mandal Manasi Khanra Biswaranjan |
author_sort | Goswami Sarbani Mukherjee |
collection | DOAJ |
description | The structure space of a semigroup endowed with hull kernel topology is introduced and studied. Also the structure space of a Г -semigroup is defined and a homeomorphism has been established between structure space of a Г -semigroup and the structure space of its left operator semigroup. Moreover, various properties of structure space of a Г -semigroup are studied via its left operator semigroup. |
first_indexed | 2024-03-12T18:50:08Z |
format | Article |
id | doaj.art-ee904b2160c7470fbcdc5023c724ab75 |
institution | Directory Open Access Journal |
issn | 2084-0373 |
language | English |
last_indexed | 2024-03-12T18:50:08Z |
publishDate | 2022-03-01 |
publisher | University of Zielona Góra |
record_format | Article |
series | Discussiones Mathematicae - General Algebra and Applications |
spelling | doaj.art-ee904b2160c7470fbcdc5023c724ab752023-08-02T07:18:32ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732022-03-0142112113410.7151/dmgaa.1379On the Structure Space of a Г -Semigroup Via Its Left Operator SemigroupGoswami Sarbani Mukherjee0Mandal Manasi1Khanra Biswaranjan2Lady Brabourne College, Kolkata, IndiaDepartment of Mathematics, Jadavpur University, Kolkata-700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata-700032, IndiaThe structure space of a semigroup endowed with hull kernel topology is introduced and studied. Also the structure space of a Г -semigroup is defined and a homeomorphism has been established between structure space of a Г -semigroup and the structure space of its left operator semigroup. Moreover, various properties of structure space of a Г -semigroup are studied via its left operator semigroup.https://doi.org/10.7151/dmgaa.1379operator semigroupг -semigroupprime idealhull-kernel topology20m1220mxx |
spellingShingle | Goswami Sarbani Mukherjee Mandal Manasi Khanra Biswaranjan On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup Discussiones Mathematicae - General Algebra and Applications operator semigroup г -semigroup prime ideal hull-kernel topology 20m12 20mxx |
title | On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup |
title_full | On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup |
title_fullStr | On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup |
title_full_unstemmed | On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup |
title_short | On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup |
title_sort | on the structure space of a г semigroup via its left operator semigroup |
topic | operator semigroup г -semigroup prime ideal hull-kernel topology 20m12 20mxx |
url | https://doi.org/10.7151/dmgaa.1379 |
work_keys_str_mv | AT goswamisarbanimukherjee onthestructurespaceofagsemigroupviaitsleftoperatorsemigroup AT mandalmanasi onthestructurespaceofagsemigroupviaitsleftoperatorsemigroup AT khanrabiswaranjan onthestructurespaceofagsemigroupviaitsleftoperatorsemigroup |