83 citations
- University of Illinois Urbana-ChampaignUS10 papers
- University of Arkansas at MonticelloUS7 papers
- Tufts UniversityUS6 papers
- Centre for Advanced StudyNO5 papers
- Fudan UniversityCN3 papers
- University of KentuckyUS3 papers
- Binghamton UniversityUS2 papers
- Rose–Hulman Institute of TechnologyUS2 papers
- Texas A&M UniversityUS2 papers
- University College LondonGB2 papers
- University of ChicagoUS2 papers
- University of Illinois ChicagoUS2 papers
4 papers · 1 filter
Some algebras with the weak Lefschetz property
David Cook, Uwe Nagel
Using a connection to lozenge tilings of triangular regions, we establish an easily checkable criterion that guarantees the weak Lefschetz property of a quotient by a monomial idea…
An algebraic approach to finite projective planes
David Cook, Juan Migliore, Uwe Nagel +1
A finite projective plane, or more generally a finite linear space, has an associated incidence complex that gives rise to two natural algebras: the Stanley-Reisner ring an…
On decomposing Betti tables and -sequences
David Cook
The Boij-Söderberg characterization decomposes a Betti table into a unique positive integral linear combination of pure diagrams. Given a module with a pure resolution, we describe…
Factorization Properties of Leamer Monoids
Jason Haarmann, Ashlee Kalauli, Aleesha Moran +2
The Huneke-Wiegand conjecture has prompted much recent research in Commutative Algebra. In studying this conjecture for certain classes of rings, García-Sánchez and Leamer construc…