Title of article
Graph based on residuated lattices
Author/Authors
Torkzadeh ، L. Department of Mathematics - Islamic Azad University, Kerman Branch , Ahadpanh ، A. Department of Mathematics - Islamic Azad University, Kerman Science and Research Branch , Behzadi ، M. Department of Mathematics - Islamic Azad University, Kerman Science and Research Branch
From page
27
To page
39
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 Gamma;(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 Gamma;(L) are studied.
Keywords
Residuated lattice , Graph , zero divisors , Residuated graph
Journal title
Journal of Hyperstructures
Journal title
Journal of Hyperstructures
Record number
2774420
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