# Questions tagged [macaulay2]

Macaulay2 is a software system devoted to supporting research in algebraic geometry and commutative algebra.

31 questions
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### Macaulay2 stuck analyzing simple' ideal

I'm attempting to use Macaulay2 to compute minimal prime decompositions of various ideals. I'm getting used to the program and I've been successful in simpler cases. But with the ideal I present ...
1answer
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### Use Macaulay2 to compute minimal primes of complicated ideal

I tried computing the minimal primes of a fairly complex ideal using the online Macauley2 interface. I start by letting R=QQ[z] and ...
0answers
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### Hilbert polynomials in two variables with Macaulay2

In J. Symb. Comput. (1999) 28, 681-710, Levin worked with bifiltered, finitely generated $R$-modules ($R$ being a polynomial ring in two sets of variables) and he found an analogue of the Hilbert ...
0answers
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### Using the initialIdeal` function in Macaulay2

My understanding is that there's an initialIdeal function in Macaulay2 for computing intial ideals with respect to a grading, specifically in the ...
1answer
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0answers
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### Primary decomposition of large ideals

Short version: I'd like to do a primary decomposition of an ideal with 38 generators in a polynomial ring with 44 generators. However, the ideal seems far too large to naively decompose in, say, ...
1answer
343 views

### Computing Betti numbers using Macaulay2

Let $k$ be a field and $R=k[x,y,z]$, let $M=R/\langle x^2,xy,yz^2,y^4\rangle$ be $R$-module, how can we compute the left free resolution of $M$, and also the Betti numbers of this resolution?
2answers
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### Computing contractions of ideals in Macaulay2

Does Macaulay2 compute contractions of ideals under ring homomorphisms. Specifically, if $R\subseteq S$ is a ring extension (say polynomial rings over $\mathbb{Q}$ which can be specified in M2) and $I$...