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math.AC2026
Graded Betti numbers of graded Möbius algebras of uniform matroids
Louiza Fouli, Sean Grate, Selvi Kara +5
Graded Möbius algebras were a key tool in the proof of the Dowling-Wilson Top Heavy Conjecture. They are commutative algebras whose Hilbert functions recover the Whitney numbers of…
math.AC2026
Homological properties of rings defined by general quadrics in variables
Rachel Diethorn, Sema Güntürkün, Alexis Hardesty +4
We study the almost complete intersection ring defined by general quadrics in a polynomial ring in variables over a field and a corresponding linked Gorenste…