Title of article
Generalizations of prime fuzzy ideals of a lattice
Author/Authors
Subhash Patil ، Yogita Department of Mathematics - Dr. Babasaheb Ambedkar Marathwada University , Khanderao Nimbhorkar ، Shriram Department of Mathematics - Dr. Babasaheb Ambedkar Marathwada University
From page
1
To page
33
Abstract
As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved. It is shown that the radical of a fuzzy ideal of L is a 2-absorbing fuzzy ideal if and only if it is a 2-absorbing primary fuzzy ideal of L. We also introduce and study these concepts in a product of lattices.
Keywords
Lattice , fuzzy lattice , fuzzy ideal , fuzzy prime ideal , fuzzy 2 , absorbing ideal , fuzzy primary ideal
Journal title
Journal of Hyperstructures
Journal title
Journal of Hyperstructures
Record number
2774487
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