In this paper, the S-prime ideal in a lattice \(L\) is introduced where S is the meet subset of \(L\). Also, it isshown that the prime ideal of \(L\) is an S-prime ideal of \(L\) and studied with suitable examples. Further, theS-prime ideal \(I\)\(s\) of S-meet semilattice Ls is introduced. Finally, a new graph called S-prime graph of S-meet semilattice is defined and their topological measures are generalized.
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Mythily et al. (2024) studied this question.
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