On finite lattices generated by their doubly irreducible elements (Q1114724)
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scientific article; zbMATH DE number 4083693
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On finite lattices generated by their doubly irreducible elements |
scientific article; zbMATH DE number 4083693 |
Statements
On finite lattices generated by their doubly irreducible elements (English)
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1989
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This note proves that a finite distributive lattice D is generated by its doubly irreducible elements if and only if the Dedekind-MacNeille completion of the partially ordered set of all join-irreducible elements of D is a distributive lattice.
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concept lattices
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finite distributive lattice
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doubly irreducible elements
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Dedekind-MacNeille completion
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