2015/04/07 by Juergen Herzog, Herzog, Juergen, Ayesha Asloob Qureshı +4
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC
paper · pdf · doi:10.48550/arxiv.1504.01520
openalex publication_date 2015/04/07 · arxiv created 2015/06/05 · arxiv updated 2015/06/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
For a pair (P,Q) of finite posets the generators of the ideal L(P,Q) correspond bijectively to the isotone maps from P to Q. In this note we determine all pairs (P,Q) for which the Alexander dual of L(P,Q) coincides with L(Q,P), up to a switch of the indices.