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Complemented continuous lattices

โœ Scribed by Hans-J. Bandelt

Book ID
112499320
Publisher
Springer
Year
1981
Tongue
English
Weight
122 KB
Volume
36
Category
Article
ISSN
0003-889X

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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.