Center of algebra of functions
Let $A$ be an algebra over a field (not necessarily commutative) with multiplication $m$ and unit $1_A$, and $X$ be a finite set. The set of functions from $X$ to $A$, $Fun(X,A)$, can be given an algebra structure with the obvious pointwise definitions: $\forall x \in X, (f+g)(x):=f(x)+g(x), (\lambda f)(x):=\lambda f(x), (fg)(x):=f(x)g(x)$. Clearly the center $Z=\{f \in Fun(X,A): fg=gf, \forall g \in Fun(X,A)\}$ of $Fun(X,A)$ is the whole $Fun(X,A)$ if $A$ is commutative (since $Fun(X,A)$ is also commutative), but what is the center if $A$ is not commutative?
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Yes, I am interested. Did you mean GMT +0?

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I just realized I won't be available at that time. I'm sorry.

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There isn't as far as I know. But if you can try the next day that would be great.

Are you available Monday, May 23?

Yes!

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11 am GMT +1!

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