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location Pisa, Italy
age 24
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May
6
awarded  Necromancer
Apr
10
comment Associated Primes of Tensor Product
I think that in general almost nothing can be said. See for example $M =A/I$ and $N = A/J$.
Apr
10
comment Does there exists a continuous surjection from $\mathbb{R}$ to $\mathbb{R}^2$?
I don't know, but continuous is probably too weak as a condition. In fact there is the Peano curve, which is an example of continuous surjection $[0,1] \to [0,1] \times [0,1]$.
Mar
24
answered When do two matrices have the same column space?
Jan
25
comment Similar Matrices
I have just discovered that my proof is contained also in Problems 7 and 9 of Section 6.7 in Topics in algebra (2nd ed.) by I. N. Herstein.
Dec
6
comment Shrinking the base field of a scheme of finite type over a field
It is true by the theory of limits of schemes of finite presentation: EGA IV §8.
Dec
6
answered Elementary questions about regular rings and Zariski tangent spaces
Nov
19
accepted Finite presentation of algebra of invariants
Nov
7
answered Finite presentation of algebra of invariants
Oct
31
comment Limits of subrings and surjectivity
Thanks! A simpler example is $A = \mathbb{Q}$, because every subring of $\mathbb{Q}$ of finite type over $\mathbb{Z}$ is of the form $\mathbb{Z}[1/d]$ and the map $\mathrm{Spec}(\mathbb{Q}) \to \mathrm{Spec}(\mathbb{Z}[1/d])$ cannot be surjective.
Oct
31
accepted Limits of subrings and surjectivity
Oct
31
asked Limits of subrings and surjectivity
Sep
22
awarded  Tumbleweed
Sep
15
comment Compute Hilbert function of a monomial ideal
Thank you very much!
Sep
15
accepted Compute Hilbert function of a monomial ideal
Sep
15
accepted A consequence of Runge's theorem
Aug
15
comment Finite presentation of algebra of invariants
Thanks! I had the suspect that the answer to (2) was no. But my real interest is in (1) and I hope that it has an adfirmative answer.
Aug
15
revised Finite presentation of algebra of invariants
added 5 characters in body
Aug
13
asked Finite presentation of algebra of invariants
Aug
12
comment Irreducible polynomial over algebraically closed field
Great answer!!!