Principal element lattices
D. D. Anderson, C. Jayaram (1996)
Czechoslovak Mathematical Journal
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D. D. Anderson, C. Jayaram (1996)
Czechoslovak Mathematical Journal
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C. Jayaram (2002)
Czechoslovak Mathematical Journal
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In this paper we study primary elements in Prüfer lattices and characterize -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.
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.
C. Jayaram, E. W. Johnson (1998)
Czechoslovak Mathematical Journal
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Jane Wells (1972)
Fundamenta Mathematicae
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Al-Ezeh, H. (1992)
Portugaliae mathematica
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