@article{Jain2024, 
author = {Aparna Jain and Iffat Jahan},
title = {Maximal Ideal and Prime Ideal in an L-lattice},
year = {2024},
journal = {Fuzzy Information and Engineering},
volume = {16},
number = {3},
pages = {244-263},
keywords = {lattices, L-sublattice, L-ideal, L-dual ideal, L-maximal ideal, L-prime ideal},
url = {https://www.sciopen.com/article/10.26599/FIE.2024.9270044},
doi = {10.26599/FIE.2024.9270044},
abstract = {In this paper, the notions of an L-sublattice, L-ideal, and L-dual ideal of an L-lattice are introduced. The concepts of an L-maximal ideal and an L-prime ideal in an L-lattice are also defined. The present paper also gives the precise structures of an L-sublattice, L-ideal (dual ideal) generated by an L-subset of an L-lattice. Finally, it is proved that under certain conditions, an L-maximal ideal in an L-lattice is L-prime. It is important to note that, in our studies, the evaluation lattice changes from  [0,1] to a lattice L and the parent structure shifts from an ordinary lattice to an L-lattice.}
}