Strong compact elements in multiplicative lattices
C. Jayaram, E. W. Johnson (1997)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Principal element lattices”
Strong compact elements in multiplicative 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 -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.
Structure and embedding theorems for unique normal decomposition lattices
E. Johnson, J. Johnson, J. Lediaev (1971)
Fundamenta Mathematicae
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-elements in multiplicative lattices
C. Jayaram, E. W. Johnson (1998)
Czechoslovak Mathematical Journal
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The restricted cancellation law in a Noether lattice
Jane Wells (1972)
Fundamenta Mathematicae
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Laskerian lattices
C. Jayaram (2003)
Czechoslovak Mathematical Journal
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In this paper we investigate prime divisors, -primes and -primes in -lattices. Using them some new characterizations are given for compactly packed lattices. Next, we study Noetherian lattices and Laskerian lattices and characterize Laskerian lattices in terms of compactly packed lattices.