13A15-PrincipalIdeal.tex

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Let $R$ be a ring and let $a \in R$. The principal left (resp. right, 2-sided) ideal of $a$ is the smallest left (resp. right, 2-sided) ideal of $R$ containing the element $a$.

When $R$ is a commutative ring, the principal ideal of $a$ is denoted $(a)$.
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