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license: gpl-2.0
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- text: A gastoroidal toroid is a toroid constructed as a fried dough and equipped
    with a sucrose structure. The space $|\mathscr{T}_\mathscr{G}|$ of a gastoroidal
    toroid $\mathscr{T}_\mathscr{G}$ is the underlying topological space structure
    of the fried dough. We say that a gastroidal toroid is flavorful if $\lim_{n \to
    \infty} \operatorname{swt}_n(\mathscr{T}_\mathscr{G}) \geq 1$.
- text: 'Let $A$ be a ring and let $I$ be an ideal. The radical of $I$ is the ideal
    $\sqrt{I} = \{a \in A: a^n \in I \text{ for some } n \geq 0 \}$.'
- text: In this chapter, we let $k$ denote a field of characteristic $p$ and we let
    $\bar{k}$ denote a fixed algebraic closure.
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