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...

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Main Authors: Goswami Sarbani Mukherjee, Mandal Manasi, Khanra Biswaranjan
Format: Article
Language:English
Published: University of Zielona Góra 2022-03-01
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.
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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