Different types of primary ideals of near-rings and their graphs
In the last few decades, studies of graph theory based on algebraic structures have been pursued. Many studies have inspected graphs via groups, rings, near-rings, and seminear-rings, and vice versa. In our study, first we introduce different type of υ-primary ideals (υ = 0, 1, 2, 3, c), which gen...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Prince of Songkla University
2023-04-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://sjst.psu.ac.th/journal/45-2/2.pdf |
| _version_ | 1797662937011191808 |
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| author | Adnan Muhammad Muhammad Ashraf Waheed Ahmad Khan |
| author_facet | Adnan Muhammad Muhammad Ashraf Waheed Ahmad Khan |
| author_sort | Adnan Muhammad |
| collection | DOAJ |
| description | In the last few decades, studies of graph theory based on algebraic structures have been pursued. Many studies have
inspected graphs via groups, rings, near-rings, and seminear-rings, and vice versa. In our study, first we introduce different type
of υ-primary ideals (υ = 0, 1, 2, 3, c), which generalize υ-prime ideals (υ = 0, 1, 2, 3, c) in near-rings. Then, we provide some
important characterizations of these newly initiated ideals. In addition, we explore some relationships among these ideals.
Throughout, we furnish our results with appropriate examples. Finally, as an application, we provide characterizations of
different graphs associated with these υ-primary ideals (υ = 0, 1, 2, 3, c) in near-rings. |
| first_indexed | 2024-03-11T19:07:19Z |
| format | Article |
| id | doaj.art-864abd9cce4a4cf2acf5fc5f0836d5b6 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-03-11T19:07:19Z |
| publishDate | 2023-04-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-864abd9cce4a4cf2acf5fc5f0836d5b62023-10-10T06:16:37ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952023-04-01452173181Different types of primary ideals of near-rings and their graphsAdnan Muhammad0Muhammad Ashraf1Waheed Ahmad Khan2Department of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt, PakistanDepartment of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt, PakistanDepartment of Mathematics, Division of Science and Technology, University of Education Lahore, Attock Campus, Punjab, PakistanIn the last few decades, studies of graph theory based on algebraic structures have been pursued. Many studies have inspected graphs via groups, rings, near-rings, and seminear-rings, and vice versa. In our study, first we introduce different type of υ-primary ideals (υ = 0, 1, 2, 3, c), which generalize υ-prime ideals (υ = 0, 1, 2, 3, c) in near-rings. Then, we provide some important characterizations of these newly initiated ideals. In addition, we explore some relationships among these ideals. Throughout, we furnish our results with appropriate examples. Finally, as an application, we provide characterizations of different graphs associated with these υ-primary ideals (υ = 0, 1, 2, 3, c) in near-rings.https://sjst.psu.ac.th/journal/45-2/2.pdfnear-ringsprime idealalmost prime idealprimary idealgraph |
| spellingShingle | Adnan Muhammad Muhammad Ashraf Waheed Ahmad Khan Different types of primary ideals of near-rings and their graphs Songklanakarin Journal of Science and Technology (SJST) near-rings prime ideal almost prime ideal primary ideal graph |
| title | Different types of primary ideals of near-rings and their graphs |
| title_full | Different types of primary ideals of near-rings and their graphs |
| title_fullStr | Different types of primary ideals of near-rings and their graphs |
| title_full_unstemmed | Different types of primary ideals of near-rings and their graphs |
| title_short | Different types of primary ideals of near-rings and their graphs |
| title_sort | different types of primary ideals of near rings and their graphs |
| topic | near-rings prime ideal almost prime ideal primary ideal graph |
| url | https://sjst.psu.ac.th/journal/45-2/2.pdf |
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