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Shaun
Shaun
3:21 PM
Yet another one:
-1
Q: If $\sqrt{I}=I$ is an ideal of $k[T]$, $k$ an alg. closed field, and $I=\bigcap P_i$, we have that the $P_i$ are unique if $P_i$ have no inclusions.

ShaunThis is part of Exercise 1.2.6(2) on page 4 of Springer's "Linear Algebraic Groups (Second Edition)". The first part is here. The Details: Since definitions vary: A topological space $(X,\tau)$ is a set $\tau$ of subsets of $X$, called closed subsets, such that $\varnothing, X\in\tau$, The inte...

abstract-algebra general-topology algebraic-geometry maximal-and-prime-ideals
 

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