3 citations · 8 across the 5 of their papers we have counts for
5 papers · 1 filter
Resolutions of De Concini-Procesi ideals indexed by hooks
Riccardo Biagioli, Sara Faridi, Mercedes Rosas
We find a minimal generating set for the De Concini-Procesi ideals indexed by hooks, and study their minimal free resolutions as well as their Hilbert series and regularity.
Simplicial Trees are Sequentially Cohen-Macaulay
Sara Faridi
This paper uses dualities between facet ideal theory and Stanley-Reisner theory to show that the facet ideal of a simplicial tree is sequentially Cohen-Macaulay. The proof involves…
Cohen-Macaulay Properties of Square-Free Monomial Ideals
Sara Faridi
In this paper we study simplicial complexes as higher dimensional graphs in order to produce algebraic statements about their facet ideals. We introduce a large class of square-fre…
The facet ideal of a simplicial complex
Sara Faridi
To a simplicial complex, we associate a square-free monomial ideal in the polynomial ring generated by its vertex set over a field. We study algebraic properties of this ideal via…
Normal ideals of graded rings
Sara Faridi
For a graded domain over an arbitrary domain , it is shown that the ideal generated by elements of degree , where is the least common multiple…