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Monomial ideal

In abstract algebra, a monomial ideal is an ideal generated by monomials in a multivariate polynomial ring over a field.

Monomial ideals and Young diagrams, Definitions and properties & Monomial orderings and Gröbner bases

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Monomial ideals and Young diagrams

6 related topics

Definitions and properties

4 related topics

Monomial orderings and Gröbner bases

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Overview

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Definitions and properties

Monomial ideals and Young diagrams

Monomial orderings and Gröbner bases

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Monomial ideal

Nodes23
Edges22
Triples33
Avg. degree1.91
Density0.086957
Components1

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Monomial ideal

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related to Further reading · 26
Monomial ideal → American Mathematical Society, Bernard, Bernd, Binomial Ideals, Chicago, Convex Polytopes, Cox, David, Diana Kahn, Gröbner Bases, Ideals, Lecture, Lectures, Monomial Ideals, MR, PDF, PhD, Polynomial Ideals, ProQuest, Providence
related to Monomial ideals and Young diagrams · 6
Monomial ideal → Bivariate, If, In, Let, The, Young
is a · 1
Monomial ideal → ideal generated by monomials in a multivariate polynomial ring over a field

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Important terminology

displaystyle monomial mathbb monomials dotsc ideal polynomial young ideals set term generated gröbner basis subset minimal lt ring field diagrams

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SubjectPredicateObjectConfidenceSrc
Monomial idealis aideal generated by monomials in a multivariate polynomial ring over a field0.90text
Monomial idealrelated to Further readingCox0.60section
Monomial idealrelated to Further readingDavid0.60section
Monomial idealrelated to Further readingLectures0.60section
Monomial idealrelated to Further readingPDF0.60section
Monomial idealrelated to Further readingLecture0.60section
Monomial idealrelated to Further readingSturmfels0.60section
Monomial idealrelated to Further readingBernd0.60section
Monomial idealrelated to Further readingGröbner Bases0.60section
Monomial idealrelated to Further readingConvex Polytopes0.60section
Monomial idealrelated to Further readingProvidence0.60section
Monomial idealrelated to Further readingRI0.60section

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