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Proving membership of monomials to an ideal

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#ring-theory #gcd-and-lcm #groebner-basis
104
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Determining the colon ideal in a polynomial ring

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#abstract-algebra #polynomials #ring-theory #commutative-algebra #groebner-basis
64
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Theorem 1.2.7 in Sturmfel's Algorithms in Invariant Theory: Hilbert Series and Monomial Ideals

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#commutative-algebra #groebner-basis #monomial-ideals
201
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Is the mentioned basis a Gröbner basis?

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#commutative-algebra #ideals #groebner-basis
831
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How to check if a polynomial is inside an ideal using a Groebner basis

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#commutative-algebra #ideals #groebner-basis
984
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Gröbner Basis and Division Algorithm

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#groebner-basis
416
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Help me understand Gröbner basis result please

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#algebraic-geometry #polynomials #mathematica #groebner-basis
574
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Show that $G$ is a Groebner bases of $I$ if division of $f$ on $G$ is zero for all $f\in I$.

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#abstract-algebra #polynomials #groebner-basis
146
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Help with computation and Gröbner basis

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#commutative-algebra #groebner-basis #macaulay2
240
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How can one show that an ideal with some property is zero-dimensional?

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#commutative-algebra #krull-dimension #groebner-basis
2k
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How to convert the parametric equation into implicit form?

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#parametric #plane-curves #rational-functions #symbolic-computation #groebner-basis
71
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Show that the number of points of $V(I)$ is at most $m_1m_2...m_n$ if $x_i^{m_i}\in \left\langle \text{LT}(I) \right\rangle$.

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#algebraic-geometry #vector-spaces #groebner-basis
178
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What is the "projective limit" of a polynomial?

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#algebraic-geometry #commutative-algebra #groebner-basis
304
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Grobner bases of a determinantal ideal

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#algebraic-geometry #commutative-algebra #groebner-basis
107
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What is a good lex order to compute the Groebner basis of this ideal?

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#algebraic-geometry #groebner-basis

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