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Complete Intersection ideal whose initial ideal is not even Cohen-Macaulay

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#commutative-algebra #monomial-ideals #monomial-order
63
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Uncountable many monomial orders for monomials with 2 variables

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#algorithms #computer-algebra-systems #monomial-order
127
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Is there any convenient way to index the monomials up to a given order by a number?

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#algebraic-geometry #polynomials #monomial-ideals #monomial-order
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Is reverse lexicographic order the same as graded reverse lexicographic order?

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#terminology #order-theory #groebner-basis #monomial-ideals #monomial-order
222
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What is the meaning of degree compatible ordering?

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#groebner-basis #monomial-order
178
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A question about extending polynomial span to monomial basis

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#linear-algebra #chebyshev-polynomials #chebyshev-function #monomial-order
72
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Need help in understanding definition of monomials

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#polynomials #terminology #definition #monomial-order #monomial-function
62
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Existance of monomial ordering

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#monomial-order
130
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Gröbner basis of ideals

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#abstract-algebra #ideals #gcd-and-lcm #groebner-basis #monomial-order
83
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Monomial order refines the partial order of divisibility

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#abstract-algebra #ring-theory #monomial-order
161
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Regularity of generic initial ideals: The only associated prime of $I$ containing $x_r$ is the maximal ideal.

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#commutative-algebra #graded-modules #monomial-ideals #monomial-order
110
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Buchberger algorithm with three variables

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#abstract-algebra #polynomials #algorithms #groebner-basis #monomial-order
317
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Example of initial ideal

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#ideals #groebner-basis #monomial-ideals #monomial-order

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