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Some results on abstract commutative ideal theory
Authors:Francisco Alarcon  D D Anderson  C Jayaram
Institution:(1) Department of Mathematics, Indiana University of Pennsylvania, 15705 Indiana, PA, USA;(2) Department of Mathematics, The University of Iowa, 52242 Iowa City, IA, USA;(3) University of Swaziland, Kwaluseni, Swaziland
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.
Keywords:Primary 06F99  06E99
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