Authors define very nice and modest algebras axiomatically to link Hilbert-Samuel polynomials with multiplicity, generalize prior results from Ore domains to prime algebras, and establish the property for rational Cherednik algebras.
Bavula, Identification of the Hilbert function and Poincare series, and the dimension of modules over filtered rings , Izv
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RA 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Hilbert-Samuel Polynomials for Algebras with Special Filtrations
Authors define very nice and modest algebras axiomatically to link Hilbert-Samuel polynomials with multiplicity, generalize prior results from Ore domains to prime algebras, and establish the property for rational Cherednik algebras.