Work

Remarks on the Hilbert depth of powers of the maximal graded ideal

Year: 2024

Type: article

Abstract: Let $\mathbf m=(x_1,\ldots,x_n)$ be the maximal graded ideal of $S:=K[x_1,\ldots,x_n]$. We present a new method for computing the Hilbert depth of $\mathbf m^t$, using the polarization and a combinatorial characterization of the Hilbert depth of a quotient of squarefree monomial ideals.

Source: Annals of the University of Craiova Mathematics and Computer Science Series

DOI: 10.52846/ami.v51i2.1911

Authors: Cimpoeaș Mircea, Bălănescu Silviu

Institution: Universitatea Națională de Știință și Tehnologie Politehnica București

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4406767757

FWCI:

Cites: 7

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Related to: 10