A condition for modular lattices (Q2475563)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A condition for modular lattices |
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A condition for modular lattices (English)
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11 March 2008
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It is shown that a geometric lattice of finite rank is modular if any maximal chain contains a non-trivial modular element. This is generalized to a certain class of finite rank upper semimodular cyclically generated lattices in which every cycle is modular.
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geometric lattice
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modular element
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modular lattice
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