Intersections of base rings associated to transversal polymatroids
| dc.creator | Ştefan, Alin | |
| dc.date | 2008-05-18 | |
| dc.date.accessioned | 2026-07-07T09:39:38Z | |
| dc.date.available | 2026-07-07T09:39:38Z | |
| dc.description | The discrete polymatroids and their base rings are studied recently in many papers (see \cite{HH}, \cite{HHV}, \cite{V1}, \cite{V2}). It is important to give conditions when the base ring associated to a transversal polymatroid is Gorenstein (see \cite{HH}). In \cite{SA} we introduced a class of such base rings. In this paper we note that an intersection of such base rings (introduced in \cite{SA}) is Gorenstein and give necessary and sufficient conditions for the intersection of two base rings from \cite{SA} to be still a base ring of a transversal polymatroid. Also, we compute the $a$-invariant of those base rings. The results presented were discovered by extensive computer algebra experiments performed with {\it{Normaliz}} \cite{BK}. | |
| dc.description | 13 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0805.2729 | |
| dc.identifier | http://arxiv.org/abs/0805.2729 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161248 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | Primary 13P10, Secondary 13H10, 13D40, 13A02 | |
| dc.title | Intersections of base rings associated to transversal polymatroids | |
| dc.type | text |