Alexander duality for monomial ideals associated with isotone maps between posets

Autor:	Herzog, Juergen, Qureshi, Ayesha Asloob, Shikama, Akihiro
Rok vydání:	2015
Předmět:	Mathematics - Commutative Algebra
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1504.01520 Zobrazit plný text záznamu View this record from Arxiv