Laskerian lattices
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 351-363

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MR Zbl
In this paper we investigate prime divisors, $B_w$-primes and $zs$-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.
In this paper we investigate prime divisors, $B_w$-primes and $zs$-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.
Classification : 06F05, 06F10, 13A15
Keywords: primary element; compactly packed lattice; Laskerian lattice
Jayaram, C. Laskerian lattices. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 351-363. http://geodesic.mathdoc.fr/item/CMJ_2003_53_2_a10/
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