We investigate the Rees algebra and the toric ring of the squarefree monomial ideal associated to the three-dimensional Ferrers diagram. Under the projection property condition, we describe explicitly the presentation ideals of the Rees algebra and the toric ring. We show that the toric ring is a Koszul Cohen–Macaulay normal domain, while the Rees algebra is Koszul and the defining ideal is of fiber type.
|Original language||English (US)|
|Number of pages||35|
|Journal||Journal of Algebra|
|State||Published - Nov 15 2018|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory