𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on the lattice of intervals of a lattice

✍ Scribed by Václav Slavik

Publisher
Springer
Year
1986
Tongue
English
Weight
71 KB
Volume
23
Category
Article
ISSN
0002-5240

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Note on lattices of euclidean subspace
A Note on lattices of euclidean subspaces
✍ Ton Geerts 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 256 KB

Any nonvoid lattice of subspaces from R" is known to be a complete lattice, and hence it has a largest and smallest element. Here we show that for a specific class of subspaces also the converse is true. If this class has a largest and a smallest element, then it is a complete lattice. Within the co

A note on “small representations of fini
A note on “small representations of finite distributive lattices as congruence lattices”
✍ Yong Zhang 📂 Article 📅 1996 🏛 Springer Netherlands 🌐 English ⚖ 128 KB

Schmidt proved that every distributive lattice with n join-irreducible elements can be represented as the congruence lattice of a "small" lattice I,, that is, a lattice L with O(r?) elements. G. Gratzer, I. Rival, and N. Zaguia proved that, for any o < 2, O(n\*) can not be improved to O(rF). In this

A Note on Optimal Unimodular Lattices
A Note on Optimal Unimodular Lattices
✍ J.H Conway; N.J.A Sloane 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 169 KB

The highest possible minimal norm of a unimodular lattice is determined in dimensions n 33. There are precisely five odd 32-dimensional lattices with the highest possible minimal norm (compared with more than 8.10 20 in dimension 33). Unimodular lattices with no roots exist if and only if n 23, n{25