Some results on abstract commutative ideal theory |
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Authors: | Francisco Alarcon D D Anderson C Jayaram |
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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 |
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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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Keywords: | Primary 06F99 06E99 |
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