Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups

The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-soft l-ideal, and a union-soft r-ideal are provided. The concepts of union-soft products and union-soft sem...

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Detalles Bibliográficos
Autores principales: Jun, Young Bae, Song, Seok Zun, Muhiuddin, G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4219135/
https://www.ncbi.nlm.nih.gov/pubmed/25405223
http://dx.doi.org/10.1155/2014/467968
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author Jun, Young Bae
Song, Seok Zun
Muhiuddin, G.
author_facet Jun, Young Bae
Song, Seok Zun
Muhiuddin, G.
author_sort Jun, Young Bae
collection PubMed
description The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-soft l-ideal, and a union-soft r-ideal are provided. The concepts of union-soft products and union-soft semiprime soft sets are introduced, and their properties related to union-soft l-ideals and union-soft r-ideals are investigated. Using the notions of union-soft l-ideals and union-soft r-ideals, conditions for an ordered semigroup to be regular are considered. The concepts of concave soft sets and critical soft points are introduced, and their properties are discussed.
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spelling pubmed-42191352014-11-17 Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups Jun, Young Bae Song, Seok Zun Muhiuddin, G. ScientificWorldJournal Research Article The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-soft l-ideal, and a union-soft r-ideal are provided. The concepts of union-soft products and union-soft semiprime soft sets are introduced, and their properties related to union-soft l-ideals and union-soft r-ideals are investigated. Using the notions of union-soft l-ideals and union-soft r-ideals, conditions for an ordered semigroup to be regular are considered. The concepts of concave soft sets and critical soft points are introduced, and their properties are discussed. Hindawi Publishing Corporation 2014 2014-10-19 /pmc/articles/PMC4219135/ /pubmed/25405223 http://dx.doi.org/10.1155/2014/467968 Text en Copyright © 2014 Young Bae Jun et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Jun, Young Bae
Song, Seok Zun
Muhiuddin, G.
Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups
title Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups
title_full Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups
title_fullStr Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups
title_full_unstemmed Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups
title_short Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups
title_sort concave soft sets, critical soft points, and union-soft ideals of ordered semigroups
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4219135/
https://www.ncbi.nlm.nih.gov/pubmed/25405223
http://dx.doi.org/10.1155/2014/467968
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