2016Unpublished venueRequires access

STRONGLY STABLE IDEALS AND HILBERT POLYNOMIALS

Davide Alberelli, Paolo Lella

Open publisher page 12 citations

Abstract

The StronglyStableIdeals.m2 package for Macaulay2 provides a method to compute all saturated strongly stable ideals in a given polynomial ring with a fixed Hilbert polynomial.A description of the main method and auxiliary tools is given.The second author is a member of GNSAGA .MSC2010: primary 13P10; secondary 13P99.

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What this paper is about

The StronglyStableIdeals.m2 package for Macaulay2 provides a method to compute all saturated strongly stable ideals in a given polynomial ring with a fixed Hilbert polynomial.A description of the main method and auxiliary tools is given.The second author is a member of GNSAGA .MSC2010: primary 13P10; secondary 13P99.

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OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The StronglyStableIdeals.m2 package for Macaulay2 provides a method to compute all saturated strongly stable ideals in a given polynomial ring with a fixed Hilbert polynomial.A description of the main method and auxiliary tools is given.The second author is a member of GNSAGA .MSC2010: primary 13P10; secondary 13P99.

Key concepts: Mathematics, Polynomial ring, Polynomial, Pure mathematics, Hilbert series and Hilbert polynomial, Hilbert–Poincaré series, Ring (chemistry), Discrete mathematics

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