Injective hulls in POS\(_V\) (Q1818226)
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scientific article; zbMATH DE number 1383723
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Injective hulls in POS\(_V\) |
scientific article; zbMATH DE number 1383723 |
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Injective hulls in POS\(_V\) (English)
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31 January 2000
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The known results about injective objects in the category of join semilattices are generalized to the category \(\text{POS}_V\) of posets and \(V\)-homomorphisms. Any \(V\)-homomorphism is isotone and, on join semilattices, \(V\)-homomorphisms coincide with join preserving maps.
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injective object
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injective hull
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category of posets and \(V\)-homomorphisms
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semilattice
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