Graph based on residuated lattices
Publish place: Journal of Hyperstructures، Vol: 3، Issue: 1
Publish Year: 1393
Type: Journal paper
Language: English
View: 103
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Document National Code:
JR_JHSMS-3-1_004
Index date: 5 February 2024
Graph based on residuated lattices abstract
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.
Graph based on residuated lattices Keywords:
Graph based on residuated lattices authors
L. Torkzadeh
Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran
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Department of Mathematics, Kerman Science and Research Branch, Islamic Azad University, Kerman, Iran
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Department of Mathematics,Kerman Science and Research Branch, Islamic Azad University, Kerman, Iran