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.
C.A Primer of Algebraic D-Modules
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SageMath reduces the computational length of PBW forms and normal orderings for commutation rules in 3D skew polynomial rings.
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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.
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Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings
SageMath reduces the computational length of PBW forms and normal orderings for commutation rules in 3D skew polynomial rings.