Injective hulls in POS\(_V\)
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.
category of posets and \(V\)-homomorphisms
scientific article; zbMATH DE number 1383723