Graph based on residuated lattices
In this paper, the residuated graph of residuated lattices will be studied. To do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated. By means of the set of all zerodivisors of an element of a residuated latti...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2014-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2571_e0401300b9fee71724de396774e29162.pdf |
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| author | L. Torkzadeh A. Ahadpanh M. Behzadi |
| author_facet | L. Torkzadeh A. Ahadpanh M. Behzadi |
| author_sort | L. Torkzadeh |
| collection | DOAJ |
| description | In this paper, the residuated graph of residuated lattices will be studied. To do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated. By means of the set of all zerodivisors of an element of a residuated lattice L, the residuated graph Γ(L) is defined and several examples are given. This graph is connected and also some necessary conditions for the residuated graph to be a star graph are found. Finally, the relation between a residuated lattice L and the residuated graph Γ(L) are studied. |
| format | Article |
| id | doaj-art-a693162f70a9404f88d8c402cffcf679 |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2014-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-a693162f70a9404f88d8c402cffcf6792025-08-20T02:40:18ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662014-06-0131273910.22098/jhs.2014.25712571Graph based on residuated latticesL. Torkzadeh0A. Ahadpanh1M. Behzadi2Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, IranDepartment of Mathematics, Kerman Science and Research Branch, Islamic Azad University, Kerman, IranDepartment of Mathematics,Kerman Science and Research Branch, Islamic Azad University, Kerman, IranIn this paper, the residuated graph of residuated lattices will be studied. To do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated. By means of the set of all zerodivisors of an element of a residuated lattice L, the residuated graph Γ(L) is defined and several examples are given. This graph is connected and also some necessary conditions for the residuated graph to be a star graph are found. Finally, the relation between a residuated lattice L and the residuated graph Γ(L) are studied.https://jhs.uma.ac.ir/article_2571_e0401300b9fee71724de396774e29162.pdfresiduated latticegraphzero divisorsresiduated graph |
| spellingShingle | L. Torkzadeh A. Ahadpanh M. Behzadi Graph based on residuated lattices Journal of Hyperstructures residuated lattice graph zero divisors residuated graph |
| title | Graph based on residuated lattices |
| title_full | Graph based on residuated lattices |
| title_fullStr | Graph based on residuated lattices |
| title_full_unstemmed | Graph based on residuated lattices |
| title_short | Graph based on residuated lattices |
| title_sort | graph based on residuated lattices |
| topic | residuated lattice graph zero divisors residuated graph |
| url | https://jhs.uma.ac.ir/article_2571_e0401300b9fee71724de396774e29162.pdf |
| work_keys_str_mv | AT ltorkzadeh graphbasedonresiduatedlattices AT aahadpanh graphbasedonresiduatedlattices AT mbehzadi graphbasedonresiduatedlattices |