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visits member for 3 years, 9 months
seen Dec 4 '13 at 20:41

Just me!


Dec
15
asked Surjective homomorphism in Laurent polynomial ring.
Dec
14
comment Sum involving units of a ring.
You are right, I didn't realize this solution... However, what happens if we assume that $A$ is a discrete valuation ring?
Dec
14
comment Sum involving units of a ring.
@Joel Cohen: You are right, I didn't realize this solution... However, what happens if we assume that $A$ is a discrete valuation ring?
Dec
14
revised Sum involving units of a ring.
edited body
Dec
14
asked Sum involving units of a ring.
Nov
27
comment Binomials in associative algebras
Ok, I got it... Thanks! Now I see why you mentioned combinatorial Nullstellensatz. When I read your proof at the first time, I was confused in what you took as the domain. Thanks again!
Nov
26
awarded  Commentator
Nov
26
comment Binomials in associative algebras
I still don't understand how you pass to $A$ from the situation with nonnegative integers. I understand the idea and the fact that $P(k_1,k_2)=0$ for all $k_1,k_2\in \mathbb Z_+$. But after you write "In other words" I am confused...
Nov
26
accepted Binomials in associative algebras
Nov
26
comment Binomials in associative algebras
@Qiaochu Yuan: THANKS. I will appreciate too much.
Nov
26
comment Binomials in associative algebras
@QiaochuYuan: I don't see how to proceed by induction in this case. In the case of natural numbers we have to divide by expressions involving $x$ and $y$ at some point. But here we can't... So, what is the procedure to show the formula above?
Nov
26
comment Binomials in associative algebras
@Qiaochu Yuan: So, are you saying that it holds with the assumption that $A$ is an associative and commutative $Q$-algebra?
Nov
26
awarded  Peer Pressure
Nov
26
awarded  Scholar
Nov
25
asked Binomials in associative algebras
Jun
28
awarded  Self-Learner
Feb
18
comment Eigenspaces of a representation
Let $\rho: g \mapsto gl(V)$ such representation. The generalized eigenspace of $V$ via $\rho$ is $$V_i=\left\{v\in V \mid \forall x\in g, \exists n\in \mathbb N \text{ such that } (\rho(X) - \lambda_i(X))^nv = 0\right\}.$$
Feb
18
revised Eigenspaces of a representation
added 7 characters in body
Feb
18
asked Eigenspaces of a representation
Jan
13
awarded  Tumbleweed