Displaying similar documents to “Structure and embedding theorems for unique normal decomposition lattices”

Primary elements in Prüfer lattices

C. Jayaram (2002)

Czechoslovak Mathematical Journal

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In this paper we study primary elements in Prüfer lattices and characterize α -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.

Balanced d-lattices are complemented

Martin Goldstern, Miroslav Ploščica (2002)

Discussiones Mathematicae - General Algebra and Applications

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We characterize d-lattices as those bounded lattices in which every maximal filter/ideal is prime, and we show that a d-lattice is complemented iff it is balanced iff all prime filters/ideals are maximal.