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Help with a Groebner basis

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#algebraic-geometry #commutative-algebra #groebner-basis #groebner-generators
142
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Gröbner basis of ideals

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#abstract-algebra #ideals #gcd-and-lcm #groebner-basis #monomial-order
50
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Division Algorithm for non-global ordering in K[x,y]

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#algorithms #solution-verification #polynomial-rings #groebner-basis
69
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Computing Groebner Basis with given generators and relations of a module

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#commutative-algebra #computer-algebra-systems #groebner-basis #macaulay2 #singular-cas
142
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Do Groebner bases over rationals lose information about complex solutions?

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#nonlinear-system #computer-algebra-systems #groebner-basis
58
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Is a Gröbner basis after substitution still a Gröbner basis?

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#groebner-basis
48
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If $I=\langle q\rangle$ then $\{q\}$ is a Gröbner basis for I.

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#polynomials #groebner-basis
101
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The best methods for multivariate polynomial equations over finite fields

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#finite-fields #groebner-basis #multivariate-polynomial #resultant
72
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$I=\langle x^2+2y^2-3, x^2+xy+y^2-3\rangle$ in $\Bbb Q[x,y]$ how do I find the Grobner basis for $I \cap \Bbb Q[x]$ and $I\cap\Bbb Q[y]$?

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#algebraic-geometry #ring-theory #ideals #groebner-basis
1.2k
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How to remove roots from an equation?

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#calculus #polynomials #radicals #groebner-basis
58
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Invert "matrix of polynomials" for a change of presentation of an Ideal

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#polynomials #ideals #groebner-basis
73
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Using Groebner Basis to eliminte variables but end with empty set.

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#algebraic-geometry #groebner-basis
338
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Groebner Basis in Macaulay2

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#groebner-basis #macaulay2
74
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Does this square polynomial system have a finite number of zeros?

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#polynomials #roots #groebner-basis
76
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Example of strict inclusion with respect to the product of initial ideals

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#commutative-algebra #ideals #groebner-basis #monomial-ideals

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