Stephen Sturgeon
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Registered User
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May 23 |
accepted | Connection between the number of vertices and the number of lattice points of the integer hull of a polytope? |
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May 22 |
answered | Connection between the number of vertices and the number of lattice points of the integer hull of a polytope? |
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May 22 |
comment |
identity for number of monomials Could you give a small example of $b(n,k)$ and the associated monomials in some small case? |
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May 22 |
comment |
Computational Ring Theory Macaulay2 is also good software for commutative rings. |
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May 22 |
answered | local complete intersection |
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May 22 |
accepted | Upper bound of a series |
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May 21 |
answered | Upper bound of a series |
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May 20 |
answered | Real root of a cubic equation |
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May 20 |
accepted | An example of a ring $R$ with the property that for each $P=Ann_R(r)\in {\rm Min}(R)$ we have $Ann_R(P)=Rr$. |
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May 15 |
comment |
Is there a name for this graph? What is wrong with calling it the Hasse diagram of the inclusion poset? |
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May 14 |
answered | How to find overlap between two convex hulls,along with the overlap area |
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May 13 |
comment |
ideals of a noetherian ring $R$ Cohen-Macaulay as $R-$modules You will at least need to look outside of the polynomial ring. No ideals are Cohen-Macaulay as $k[x_1,...,x_n]$ modules by Boij-S\"oderberg decomposition. |
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May 13 |
awarded | ● Editor |
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May 13 |
revised |
An example of a ring $R$ with the property that for each $P=Ann_R(r)\in {\rm Min}(R)$ we have $Ann_R(P)=Rr$. added 7 characters in body |
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May 13 |
comment |
An example of a ring $R$ with the property that for each $P=Ann_R(r)\in {\rm Min}(R)$ we have $Ann_R(P)=Rr$. Consider $R=k[x,y]/(xy)$. Then R is just the vector space spanned by $(1,x,x^2,...,y,y^2,...)$ because any mixed terms of $xy$ will be eliminated. Thus we can calculate the annihilator by considering products of things in this basis. $x^i*y^j=0$ where as all other products just give a power of a variable. Hence the annihilators are proven. We note that $(x)$ and $(y)$ are the minimal primes. Then $(x) \subset (x,y) \subset R$ is a maximal chain of primes so the dimension is 1. |
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May 13 |
answered | An example of a ring $R$ with the property that for each $P=Ann_R(r)\in {\rm Min}(R)$ we have $Ann_R(P)=Rr$. |
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Apr 27 |
awarded | ● Scholar |
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Apr 27 |
accepted | Secondary Polytope Simplicial? |
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Apr 25 |
awarded | ● Teacher |
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Apr 25 |
answered | Secondary Polytope Simplicial? |
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Apr 25 |
comment |
Secondary Polytope Simplicial? I apologize for the confusion. The secondary polytope of an n-gon is the associahedron, which is simple not simplicial. By duality I can always study the dual simplicial polytope in this situation. My question should be rephrased as "Is the secondary polytope always either simple or simplicial?" |
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Apr 23 |
asked | Secondary Polytope Simplicial? |
