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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
2
votes
Formal power series is Taylor expansion of rational function iff Hankel determinants vanish?
I am not going to add anything new, just what is my take on it. The proof consists of four really simple steps.
Step I. Determinant is zero iff there exist numbers $b_0,\dots,b_N$, not all of them z …
3
votes
Accepted
Abhyankar-Moh embedding theorem without algebraic closedness
In the van den Essen's paper, a polynomial map $t\mapsto (x(t),y(t))$ is called an embedding if there is a polynomial $F$ such that $F(x(t),y(t))=t$. There is no problem with his proof: Theorem 1 is t …