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Lattices with Complemented Tolerance Lattice

โœ Scribed by S. Radeleczki; D. Schweigert


Book ID
111577431
Publisher
Springer
Year
2004
Tongue
English
Weight
107 KB
Volume
54
Category
Article
ISSN
0011-4642

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๐Ÿ“œ SIMILAR VOLUMES


Complemented continuous lattices
โœ Hans-J. Bandelt ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Springer ๐ŸŒ English โš– 122 KB
Complemented uniform lattices
โœ Hans Weber ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

It is proved that the completion of a complemented modular lattice with respect to a Hausdorff lattice uniformity which is metrizable or exhaustive is a complemented modular lattice. It is then shown that a complete complemented modular lattice endowed with a Hausdorff order continuous lattice unifo

Modularly complemented geometric lattice
โœ J.Randolph Stonesifer ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 318 KB

A geometric lattice L is strongly uniform if the quotients [x,, l] and [x,, l] are isomorphic for all x,, \_QE L of the same rank. It is shown that if L is a simple geometric lattiue in which each element has a modular complement then L is strongly uniform.