A Note on Soft Ideals and Soft Filters in Ternary Semigroups with Involution
The main purpose of this paper is to provide an effective content of theory of ternary semigroups with involution by applying soft set theory concepts. In this paper, we introduce some basic terms and definitions of different ideals in ternary semigroups with involution. Further, we define soft idea...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2020-06-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1321 |
| _version_ | 1797723769847939072 |
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| author | Abbasi Mohammad Yahya Khan Sabahat Ali Ali Akbar |
| author_facet | Abbasi Mohammad Yahya Khan Sabahat Ali Ali Akbar |
| author_sort | Abbasi Mohammad Yahya |
| collection | DOAJ |
| description | The main purpose of this paper is to provide an effective content of theory of ternary semigroups with involution by applying soft set theory concepts. In this paper, we introduce some basic terms and definitions of different ideals in ternary semigroups with involution. Further, we define soft ideals and soft filters in ternary semigroups with involution, and show how a soft set effects on a ternary semigroup with involution with the help of intersection and insertion of sets. We explore some properties using involution theoretic concepts in ternary semigroups for soft ideals and soft filters. |
| first_indexed | 2024-03-12T10:07:30Z |
| format | Article |
| id | doaj.art-8846b109e13c4edb8c14e2f6c61fb513 |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T10:07:30Z |
| publishDate | 2020-06-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-8846b109e13c4edb8c14e2f6c61fb5132023-09-02T11:07:17ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732020-06-0140111913310.7151/dmgaa.1321dmgaa.1321A Note on Soft Ideals and Soft Filters in Ternary Semigroups with InvolutionAbbasi Mohammad Yahya0Khan Sabahat Ali1Ali Akbar2Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, IndiaDepartment of Mathematics, Jamia Millia Islamia, New Delhi-110025, IndiaDepartment of Mathematics, Jamia Millia Islamia, New Delhi-110025, IndiaThe main purpose of this paper is to provide an effective content of theory of ternary semigroups with involution by applying soft set theory concepts. In this paper, we introduce some basic terms and definitions of different ideals in ternary semigroups with involution. Further, we define soft ideals and soft filters in ternary semigroups with involution, and show how a soft set effects on a ternary semigroup with involution with the help of intersection and insertion of sets. We explore some properties using involution theoretic concepts in ternary semigroups for soft ideals and soft filters.https://doi.org/10.7151/dmgaa.1321ternary semigroups with involutionsoft idealssoft filters20n9920m1203e75 |
| spellingShingle | Abbasi Mohammad Yahya Khan Sabahat Ali Ali Akbar A Note on Soft Ideals and Soft Filters in Ternary Semigroups with Involution Discussiones Mathematicae - General Algebra and Applications ternary semigroups with involution soft ideals soft filters 20n99 20m12 03e75 |
| title | A Note on Soft Ideals and Soft Filters in Ternary Semigroups with Involution |
| title_full | A Note on Soft Ideals and Soft Filters in Ternary Semigroups with Involution |
| title_fullStr | A Note on Soft Ideals and Soft Filters in Ternary Semigroups with Involution |
| title_full_unstemmed | A Note on Soft Ideals and Soft Filters in Ternary Semigroups with Involution |
| title_short | A Note on Soft Ideals and Soft Filters in Ternary Semigroups with Involution |
| title_sort | note on soft ideals and soft filters in ternary semigroups with involution |
| topic | ternary semigroups with involution soft ideals soft filters 20n99 20m12 03e75 |
| url | https://doi.org/10.7151/dmgaa.1321 |
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