75 reputation
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location Massachusetts
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visits member for 1 year, 7 months
seen Aug 11 at 21:35

Aug
5
comment Toral sub algebra
Sorry, what is the contradiction here exactly? If the Lie algebra is abelian then the toral algebra is as well, so it's nilpotent.
Jul
22
answered Where's the problem with a false “proof”: $\;1^0 = 1^2 \overset{?}\implies 0 = 2$
Jul
11
comment Does $\operatorname{Hom}(M,T)\cong\operatorname{Hom}(N, T)$ for all $A$-modules $T$ mean $M\cong N$?
Also for context, in my case I was trying to prove that $\left(\oplus_i M_i\right)\otimes N\cong\oplus_i\left(M_i\otimes N\right)$ categorically, so I took $\operatorname{Hom}(\left(\oplus_i M_i\right)\otimes N, P)$ for arbitrary $P$ and used the adjunction of tensor product and Hom. So in my case at least, I'm pretty confidant the isomorphism is natural.
Jul
10
accepted Distributional differential equation, somehow related to compact support distributions
Jul
10
comment Does $\operatorname{Hom}(M,T)\cong\operatorname{Hom}(N, T)$ for all $A$-modules $T$ mean $M\cong N$?
Really nice counterexample, thanks for the thoroughness
Jul
10
awarded  Scholar
Jul
10
accepted Does $\operatorname{Hom}(M,T)\cong\operatorname{Hom}(N, T)$ for all $A$-modules $T$ mean $M\cong N$?
Jul
10
comment Does $\operatorname{Hom}(M,T)\cong\operatorname{Hom}(N, T)$ for all $A$-modules $T$ mean $M\cong N$?
@MartinBrandenburg I do assume $A$ is commutative. Also, I don't think naturality in $T$ is implied in general, correct me if I'm wrong, but your comment made me realize that it may be true in my case.
Jul
10
asked Does $\operatorname{Hom}(M,T)\cong\operatorname{Hom}(N, T)$ for all $A$-modules $T$ mean $M\cong N$?
Jun
16
answered Maximal ideal in the ring of polynomials over $\mathbb Z$
Jun
16
suggested suggested edit on Using the Bolzano's theorem to prove that exists only one solution in the interval.
Jun
7
comment Is intersection of connected subgroups connected?
Right, as long as $\mathcal{A}'$ has the finite intersection property, the theorem goes through! It seems reasonable that if the answer is 'yes', this is a good place to use the group property.
Jun
7
answered Is intersection of connected subgroups connected?
Apr
10
answered Two tangent closed discs connected
Jan
22
awarded  Student
Jan
22
awarded  Supporter
Jan
22
asked Distributional differential equation, somehow related to compact support distributions
Jan
22
awarded  Teacher