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Absence of ordering in a class of lattice systems

✍ Scribed by P. -A. Vuillermot; M. V. Romerio

Publisher
Springer
Year
1975
Tongue
English
Weight
470 KB
Volume
41
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES

Absence of ordering in quadrupolar syste
Absence of ordering in quadrupolar systems of restricted dimensionality
✍ D. S. Ritchie; C. Mavroyannis πŸ“‚ Article πŸ“… 1978 πŸ› Springer US 🌐 English βš– 316 KB

Ordering in systems with quadrupolar interactions is studied. Some properties of the anisotropic model are presented. The Bogoliubov inequality is applied to the isotropic model to show there is no ordering in one-or two-dimensional systems.

On a Class of Lattice Ordered Inverse Se
On a Class of Lattice Ordered Inverse Semigroups
✍ Gracinda M.S. Gomes; Emilia Giraldes; Donald B. McAlister πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 150 KB

It is well known that the free group on a non-empty set can be totally ordered and, further, that each compatible latttice ordering on a free group is a total ordering. On the other hand, SaitΓ΄ has shown that no non-trivial free inverse semigroup can be totally ordered. In this note we show, however

Classes of Ultrasimplicial Lattice-Order
Classes of Ultrasimplicial Lattice-Ordered Abelian Groups
✍ Daniele Mundici πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 71 KB

A lattice-ordered abelian group is called ultrasimplicial iff every finite set of positive elements belongs to the monoid generated by some finite set of positive Z-independent elements. This property originates from Elliott's classification of AF C U -algebras. Using fans and their desingularizatio