Primary elements in Prüfer lattices

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.

Laskerian lattices

C. Jayaram (2003)

Czechoslovak Mathematical Journal

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In this paper we investigate prime divisors, $B_{w}$ -primes and $z s$ -primes in $C$ -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.

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