Identities of cofinal sublattices (Q1066926)
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scientific article; zbMATH DE number 3926988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Identities of cofinal sublattices |
scientific article; zbMATH DE number 3926988 |
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Identities of cofinal sublattices (English)
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1985
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The main results of the paper are: (1) If V is a variety of lattices and L is a free lattice in V on uncountably many generators, then any cofinal sublattice of L generates all of the variety V. (2) If L is a modular lattice and D is a distributive sublattice of L which is cofinal modulo intervals with ACC, then D may be extended to a cofinal distributive sublattice of L. Similar results and questions on existence of cofinal sublattices with DCC are given.
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variety of lattices
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free lattice
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uncountably many generators
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cofinal sublattice
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modular lattice
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distributive sublattice
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intervals with ACC
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cofinal distributive sublattice
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cofinal sublattices with DCC
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0.7503798007965088
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0.7446475625038147
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0.738137423992157
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0.7381314039230347
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