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Lemma: An ideal I {\displaystyle I} is proper if and only if 1 ∉ I {\displaystyle 1\notin I}
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https://en.wikibooks.org/wiki/Abstract_Algebra/Ideals
Lemma: An ideal I {\displaystyle I} is proper if and only if 1 ∉ I {\displaystyle 1\notin I}