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On the density of prime vectors in lattices

โœ Scribed by M. I. Tulyaganova; A. S. Fainleib


Publisher
Akadmiai Kiad
Year
1993
Tongue
English
Weight
306 KB
Volume
62
Category
Article
ISSN
1588-2632

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We classify the prime ideals in finitely generated free l l-groups and free vector lattices.

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Answering a question of Erd6s, Sauer [4] and indepe~dently Pcrles and Shelah [5] found the maximal cardinality of a collection ~ of subsets of a se~: N of cardinality n such that for ever/ subset M ~ N of cardinality m I{C f3 M: C ~ 3b'}l < 2". Karl~)vsky and Milman [3] generalised this result. Here