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seen Apr 14 at 19:15

Apr
14
accepted Algebraic closure of a subfield of the field of fraction of a variety
Apr
14
comment Algebraic closure of a subfield of the field of fraction of a variety
Thank you for sharing the link. I wonder if there is some classical book where this proof is written down.
Apr
14
asked Algebraic closure of a subfield of the field of fraction of a variety
Apr
9
accepted Nice exercises on resultants
Apr
7
comment Nice exercises on resultants
Thank you for these references!
Apr
3
accepted If $A/\mathfrak a$ is flat over $A$ then $V(\mathfrak a)$ is open. Why?
Apr
2
awarded  Promoter
Apr
2
revised Nice exercises on resultants
added 87 characters in body
Apr
2
comment If $A/\mathfrak a$ is flat over $A$ then $V(\mathfrak a)$ is open. Why?
I would like to ask you one more question. If $A$ is any ring, and $M$ is any module over $A$, is it correct that $\text{Supp}(M)$ is a closed subset of $\text{Spec}(A)$? If not, would could you please give me an example?
Apr
2
accepted Is it true that an ideal is primary iff its radical is prime?
Apr
1
comment If $A/\mathfrak a$ is flat over $A$ then $V(\mathfrak a)$ is open. Why?
Thank you for this answer! Could you please tell me the definition of $\text{Supp}$? In particular, what is $\text{Supp}(I)$?
Apr
1
comment Is it true that an ideal is primary iff its radical is prime?
Despite the down vote I like this question, and hope the example provided below might be helpful for someone :)
Apr
1
comment If $A/\mathfrak a$ is flat over $A$ then $V(\mathfrak a)$ is open. Why?
Cantlog, thanks a lot for your comment! Indeed $A$ is noetherian in Milne, so I changed the question and the link you gave answers this question completely.
Apr
1
revised If $A/\mathfrak a$ is flat over $A$ then $V(\mathfrak a)$ is open. Why?
edited tags; improved formatting
Apr
1
comment If $A/\mathfrak a$ is flat over $A$ then $V(\mathfrak a)$ is open. Why?
Thank you for this comment. This statement is given in a footnote on page 42 of Milne's "Primer in commutative algebra" jmilne.org/math/xnotes/ca.html , version version 3.00, May 2, 2013. Since Milne states this without any explanation I still believe that this should not be too hard...
Apr
1
comment A gentle reference for flat modules with exercises
Thank you for this recommendation, I will have a look
Apr
1
asked A gentle reference for flat modules with exercises
Apr
1
comment Complexifications of degree 3 subschemes in $\mathbb A^2_{\mathbb R}$
Thank you for this answer! I guess this means indeed that there is a mistake in this exercise. Maybe it is worth to write to the authors of this book...
Apr
1
asked If $A/\mathfrak a$ is flat over $A$ then $V(\mathfrak a)$ is open. Why?
Mar
31
awarded  Self-Learner