On sublattice lattice varieties
β Scribed by Dang X. Hong
- Publisher
- Springer
- Year
- 1990
- Tongue
- English
- Weight
- 83 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0002-5240
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π SIMILAR VOLUMES
How many sublattices of index N are there in the planar hexagonal lattice? Which of them are the best from the point of view of packing density, signal-to-noise ratio, or energy? We answer the first question completely and give partial answers to the other questions.
A partial ordering is defined for monotone projections on a lattice, such that the set of these mappings is a lattice which is isomorphic to a sublattice of the partition lattice.
## Abstract Let __E__ be a Banach lattice. Let __H__ stand for a sublattice, an ideal or a band in __E__, and denote by Ξ¦~1~(__E__) and Ξ¦~1~(__H__) the ideals of finite elements in the vector lattices __E__ and __H__, respectively. In this paper we first present some sufficient conditions and some