Hilbert series and Hilbert polynomial

Given a graded commutative algebra finitely generated over a field, the Hilbert function, Hilbert polynomial, and Hilbert series are three strongly related notions which measure the growth of the dimension of its homogeneous components.

These notions have been extended to filtered algebras and graded filtered modules over these algebras.

单词	Hilbert polynomial
释义	Hilbert polynomial 英语百科 Hilbert series and Hilbert polynomial Given a graded commutative algebra finitely generated over a field, the Hilbert function, Hilbert polynomial, and Hilbert series are three strongly related notions which measure the growth of the dimension of its homogeneous components. These notions have been extended to filtered algebras and graded filtered modules over these algebras.
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