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How to find the generic initial ideal?

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#commutative-algebra #monomial-ideals
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Compute Hilbert function of a monomial ideal

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Generators of the intersection of prime monomial ideals

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#commutative-algebra #monomial-ideals
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The saturation of a monomial ideal

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#commutative-algebra #monomial-ideals
278
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Product of monomial ideals and simplicial complexes

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#commutative-algebra #monomial-ideals
253
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Monomials form a vector space basis for monomial ideal

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#abstract-algebra #ring-theory #commutative-algebra #ideals #monomial-ideals
37
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On the definition of Power-product of elements of ideal

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#commutative-algebra #monomial-ideals
210
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Application of homogeneous version of Nakayama Lemma

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#commutative-algebra #graded-modules #monomial-ideals
94
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Are $(x ^ 2, xy)$ and $(x) ∩ (x ^ 2, xy, y ^ 2)$ of $k [x, y]$ the same ideals in $k[x,y]$?

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#ring-theory #commutative-algebra #ideals #monomial-ideals
187
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Proof of two ideals are equal

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#abstract-algebra #proof-writing #ideals #computational-algebra #monomial-ideals
187
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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
74
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On an Isomorphism of Semigroup Rings via Congruence Classes

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#commutative-algebra #semigroups #ring-homomorphism #monomial-ideals #semigroup-homomorphism
80
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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
32
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Lie groups in metric space

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143
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Finding the syzygy (relation module) of a monomial ideal.

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