On the Homomorphism Order of Labeled Posets
نویسندگان
چکیده
منابع مشابه
On the Homomorphism Order of Labeled Posets
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. We give a representation of directed graphs by k-posets; this provides a new proof of the universality of the homomorphism order of k-posets. This universal order is a distributive lattice. We investigate some other properties, namely the infinite distributivity, the computation of infinite suprema and...
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Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. The homomorphicity order of k-posets is shown to be a distributive lattice. Homomorphicity orders of k-posets and k-lattices are shown to be universal in the sense that every countable poset can be embedded into them. Labeled posets are represented by directed graphs, and a categorical isomorphism betw...
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ژورنال
عنوان ژورنال: Order
سال: 2010
ISSN: 0167-8094,1572-9273
DOI: 10.1007/s11083-010-9169-x