On \(\chi _{mub}\)-lattices and convex substructures of lattices and semilattices (Q1059650)
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scientific article; zbMATH DE number 3904644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\chi _{mub}\)-lattices and convex substructures of lattices and semilattices |
scientific article; zbMATH DE number 3904644 |
Statements
On \(\chi _{mub}\)-lattices and convex substructures of lattices and semilattices (English)
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1984
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The author investigates the following generalization of a lattice: The join of two elements is one of the minimal upper bounds given by a choice function. The meet is defined dually if maximal lower bounds exist and it is equal to the join otherwise. He gives a characterization of such structures arising from convex sublattices of a lattice or semilattice.
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generalization of lattice
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minimal upper bounds
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choice function
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maximal lower bounds
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convex sublattices
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