Characterizes when differential polynomial rings R[t;δ] admit compatible Γ-gradings and proves graded analogues of simplicity, primeness, and Noetherianity theorems.
Goodearl and Robert B
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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.
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Graded differential polynomial rings
Characterizes when differential polynomial rings R[t;δ] admit compatible Γ-gradings and proves graded analogues of simplicity, primeness, and Noetherianity theorems.
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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.