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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2014-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2571_e0401300b9fee71724de396774e29162.pdf |
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| Summary: | 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. |
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| ISSN: | 2251-8436 2322-1666 |