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Keywords:
principal element; primary element; Prüfer lattice
principal element; primary element; Prüfer lattice
Summary:
In this paper we study primary elements in Prüfer lattices and characterize $\alpha $-lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.
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