Generalizations of prime fuzzy ideals of a lattice

Document Type : Research Paper

Authors

Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, India

Abstract

As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbing
ideal 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.

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References

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Journal of Hyperstructures
Volume 9, Issue 2
December 2020
Pages 1-33

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