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seen Dec 4 '13 at 20:41

Just me!


Dec
15
revised Surjective homomorphism in Laurent polynomial ring.
added 15 characters in body
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