S-Noetherian lattices generalize Noetherian rings, with ring-lattice equivalence, S-prime compactness characterization, and unique S-primary decompositions.
Jayaram,Laskerian Lattices, Czech
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On $S$-Noetherian Lattices
S-Noetherian lattices generalize Noetherian rings, with ring-lattice equivalence, S-prime compactness characterization, and unique S-primary decompositions.