7 citations · 7 across the 3 of their papers we have counts for
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Multi-Rees Algebras of Strongly Stable Ideals
Selvi Kara, Kuei-Nuan Lin, Gabriel Sosa
We prove that the multi-Rees algebra of a collection of strongly stable ideals is of fiber type. In particular, we pr…
Multi-Rees Algebras and Toric Dynamical Systems
David A. Cox, Kuei-Nuan Lin, Gabriel Sosa
This paper explores the relation between multi-Rees algebras and ideals that arise in the study of toric dynamical systems from the theory of chemical reaction networks.
The Rees algebra of a two-Borel ideal is Koszul
Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +2
Let and be two monomials of the same degree, and let be the smallest Borel ideal containing and . We show that the toric ring of is Koszul by constructing a…
Detecting Koszulness and related homological properties from the algebra structure of Koszul homology
Amanda Croll, Roger Dellaca, Anjan Gupta +6
Let be a field and a standard graded -algebra. We denote by the homology algebra of the Koszul complex on a minimal set of generators of the irrelev…
Betti numbers of piecewiselex ideals
Christina Jamroz, Gabriel Sosa
We extend a result of Caviglia and Sbarra to a polynomial ring with base field of any characteristic. Given a homogeneous ideal containing both a piecewise lex ideal and an ideal g…
Distinct monomial orders with same induced orderings
Gabriel Sosa
We prove that the lexicographic, degree lexicographic and the degree reverse lexicographic orders for monomials in are uniquely determined by their induced orde…
On the Koszulness of multi-Rees algebras of certain strongly stable ideals
Gabriel Sosa
Generalizing techniques that prove that Veronese subrings are Koszul, we show that Rees and multi-Rees algebras of certain types of principal strongly stable ideals are Koszul. We…