Abstract
Conditions are given for a multiplicative lattice to be a finite Boolean algebra. Multiplicative lattices in which semiprimary elements are primary or in which prime elements are weak meet principal are studied. The lattice of filters of a bounded commutative semilattice are investigated. Finally, we study compactly packed lattices.
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Alarcon, F., Anderson, D.D. & Jayaram, C. Some results on abstract commutative ideal theory. Period Math Hung 30, 1–26 (1995). https://doi.org/10.1007/BF01876923
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DOI: https://doi.org/10.1007/BF01876923