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\label{definition:saturated-ideal}
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Let $E$ be a locally convex space over $K \in \RC$ and $\sigma \subset 2^E$ be an ideal, then $\sigma$ is \textbf{saturated} if:
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\begin{enumerate}
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\item For each $\lambda \in K$ and $S \in \sigma$, $\lamdba S \in \sigma$.
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\item For each $\lambda \in K$ and $S \in \sigma$, $\lambda S \in \sigma$.
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\item For each $S \in \sigma$, $\ol{\aconv}(S) \in \sigma$.
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\end{enumerate}
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