Bijections and homomorphisms (Q788007)
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scientific article; zbMATH DE number 3841926
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bijections and homomorphisms |
scientific article; zbMATH DE number 3841926 |
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Bijections and homomorphisms (English)
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1984
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Conditions on a map \(f:L\to M\) from a lattice L to a lattice M are considered under which f is a homomorphism of lattices in the case when f is a bijection. The main result of the paper is the following Theorem 4. Let L and M be lattices and let f:\(L\to M\) be a bijection. Then the following are equivalent: (a) f preserves meets, (b) f preserves joins, (c) f is an isomorphism. Here the equivalence of (a) and (b) seems to be a new result.
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homomorphism of lattices
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bijection
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0.88567775
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0.8839701
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