2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings

The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague Γ-ideal of a commutative Γ-ring is presented by 2-absorbing weakly co...

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Autores: Onar, Serkan, Hila, Kostaq, Etemad, Sina, Akgül, Ali, De la Sen Parte, Manuel, Rezapour, Shahram
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/60558
Acceso en línea:http://hdl.handle.net/10810/60558
Access Level:acceso abierto
Palabra clave:2-absorbing ideal
vague weakly complete Γ-ideal
2-absorbing K-vague Γ-ideal
radical
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spelling 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-RingsOnar, SerkanHila, KostaqEtemad, SinaAkgül, AliDe la Sen Parte, ManuelRezapour, Shahram2-absorbing idealvague weakly complete Γ-ideal2-absorbing K-vague Γ-idealradicalThe aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague Γ-ideal of a commutative Γ-ring is presented by 2-absorbing weakly complete primary ideal theory. The approach of non-symmetric 2-absorbing K-vague Γ-ideals of Γ-rings are examined and the relation between a level subset of 2-absorbing vague weakly complete Γ-ideals and 2-absorbing Γ-ideals is given. The image and inverse image of a 2-absorbing vague weakly complete Γ-ideal of a Γ-ring and 2-absorbing K-vague Γ-ideal of a Γ-ring are studied and a 1-1 inclusion-preserving correspondence theorem is given. A vague quotient Γ-ring of R induced by a 2-absorbing vague weakly complete Γ-ideal of a 2-absorbing Γ-ring is characterized, and a diagram is obtained that shows the relationship between these concepts with a 2-absorbing Γ-ideal.MDPI2023202320232023info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/60558reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://www.mdpi.com/2073-8994/15/3/740info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).oai:addi.ehu.eus:10810/605582026-06-18T09:23:17Z
dc.title.none.fl_str_mv 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
title 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
spellingShingle 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
Onar, Serkan
2-absorbing ideal
vague weakly complete Γ-ideal
2-absorbing K-vague Γ-ideal
radical
title_short 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
title_full 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
title_fullStr 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
title_full_unstemmed 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
title_sort 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
dc.creator.none.fl_str_mv Onar, Serkan
Hila, Kostaq
Etemad, Sina
Akgül, Ali
De la Sen Parte, Manuel
Rezapour, Shahram
author Onar, Serkan
author_facet Onar, Serkan
Hila, Kostaq
Etemad, Sina
Akgül, Ali
De la Sen Parte, Manuel
Rezapour, Shahram
author_role author
author2 Hila, Kostaq
Etemad, Sina
Akgül, Ali
De la Sen Parte, Manuel
Rezapour, Shahram
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv 2-absorbing ideal
vague weakly complete Γ-ideal
2-absorbing K-vague Γ-ideal
radical
topic 2-absorbing ideal
vague weakly complete Γ-ideal
2-absorbing K-vague Γ-ideal
radical
description The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague Γ-ideal of a commutative Γ-ring is presented by 2-absorbing weakly complete primary ideal theory. The approach of non-symmetric 2-absorbing K-vague Γ-ideals of Γ-rings are examined and the relation between a level subset of 2-absorbing vague weakly complete Γ-ideals and 2-absorbing Γ-ideals is given. The image and inverse image of a 2-absorbing vague weakly complete Γ-ideal of a Γ-ring and 2-absorbing K-vague Γ-ideal of a Γ-ring are studied and a 1-1 inclusion-preserving correspondence theorem is given. A vague quotient Γ-ring of R induced by a 2-absorbing vague weakly complete Γ-ideal of a 2-absorbing Γ-ring is characterized, and a diagram is obtained that shows the relationship between these concepts with a 2-absorbing Γ-ideal.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/60558
url http://hdl.handle.net/10810/60558
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.mdpi.com/2073-8994/15/3/740
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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