1,408 reputation
417
bio website
location
age
visits member for 3 years, 7 months
seen 11 hours ago

2d
accepted Is the colimit of finite tensor products a tensor product?
2d
asked Is the colimit of finite tensor products a tensor product?
Jul
21
comment Example of strict inclusion for the localization of associated primes
Sorry, I meant $\operatorname{Spec}R/\mathbb{F}_2^{(\mathbb{N})}\cap\operatorname{Ass}R= \varnothing$ for the first equality. I reviewed your answer more carefully, and I agree it is a correct answer!
Jul
20
accepted Example of strict inclusion for the localization of associated primes
Jul
20
comment Example of strict inclusion for the localization of associated primes
Thanks for the answer. I'm having two issues: 1.Why does $\mathbb{F}_2^{(\mathbb{N})}\subset P$ imply $e=1$? 2.Why does $\operatorname{Spec}R/\mathbb{F}_2\cap\operatorname{Ass}R=\varnothing$ imply $\operatorname{Ass}R\cap\operatorname{Spec}S^{-1}R=\varnothing$?
Jul
20
comment Example of strict inclusion for the localization of associated primes
What did you mean by the parentheses in the notation $\mathbb{F}_2^{(\mathbb{N})}$ ?
Jul
16
revised Example of strict inclusion for the localization of associated primes
added 1 character in body
Jul
16
comment Example of strict inclusion for the localization of associated primes
You are right; I took the liberty of abusing notation and considered $\operatorname{Spec}S^{-1}A$ to be a subset of $\operatorname{Spec}A$.
Jul
16
asked Example of strict inclusion for the localization of associated primes
Jul
16
accepted A question related to associated prime ideals
Jul
16
comment Associate prime ideals and exact sequences of $R$-modules
@tlquyen : I think "finite module" usually means finitely generated module, not module of finite length.
Jul
10
awarded  Benefactor
Jul
10
accepted Pseudo associated primes and short exact sequences
Jul
7
accepted Does maximal Cohen-Macaulay modules localize?
Jul
6
awarded  Informed
Jul
6
awarded  Promoter
Jul
6
revised Pseudo associated primes and short exact sequences
added 195 characters in body; edited tags
Jul
5
answered A question related to associated prime ideals
Jul
4
revised A question related to associated prime ideals
added 35 characters in body
Jul
4
revised A question related to associated prime ideals
added 8 characters in body