EUDML | Primary elements in Prüfer lattices

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Displaying similar documents to “Primary elements in Prüfer lattices”

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C. Jayaram, E. W. Johnson (1998)

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Prime sequences and distributivity in local Noether lattices

E. Johnson, M. Detlefsen (1974)

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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.