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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/467968 |
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| author | Young Bae Jun Seok Zun Song G. Muhiuddin |
| author_facet | Young Bae Jun Seok Zun Song G. Muhiuddin |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0b755832d28d41459f31950c6874cfde |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-0b755832d28d41459f31950c6874cfde2025-02-03T05:59:09ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/467968467968Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered SemigroupsYoung Bae Jun0Seok Zun Song1G. Muhiuddin2Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Jeju National University, Jeju 690-756, Republic of KoreaDepartment of Mathematics, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaThe 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.http://dx.doi.org/10.1155/2014/467968 |
| spellingShingle | Young Bae Jun Seok Zun Song G. Muhiuddin Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/467968 |
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