38 citations · 160 across the 19 of their papers we have counts for
4 papers · 1 filter
Regularity bounds for complexes and their homology
Hop D. Nguyen
Let be a standard graded algebra over a field . We prove an Auslander-Buchsbaum formula for the absolute Castelnuovo-Mumford regularity, extending important cases of previou…
Koszul determinantal rings and matrices of linear forms
Hop D. Nguyen, Phong Dinh Thieu, Thanh Vu
Let be an algebraically closed field of characteristic . Let be a matrix of linear forms over a polynomial ring (where…
Regularity over homomorphisms and a Frobenius characterization of Koszul algebras
Hop D. Nguyen, Thanh Vu
Let be a standard graded algebra over an -finite field of characteristic . Let be the Frobenius endomorphism. For each finitely generated graded -module…
Algebra retracts and Stanley-Reisner rings
Neil Epstein, Hop D. Nguyen
In a paper from 2002, Bruns and Gubeladze conjectured that graded algebra retracts of polytopal algebras over a field are again polytopal algebras. Motivated by this conjecture…