A Cayley theorem for posets
General Mathematics
2026-02-03 v1
Abstract
We show that every poset P=(P,\le) satisfying the Ascending Chain Condition can be isomorphically embedded into the poset of all mappings from P to the set A(P) of all antichains of P equipped with a certain partial order relation. This isomorphism is presented explicitly.
Keywords
Cite
@article{arxiv.2602.00210,
title = {A Cayley theorem for posets},
author = {Ivan Chajda and Helmut Länger},
journal= {arXiv preprint arXiv:2602.00210},
year = {2026}
}