 Prime ideal of a noncommutative ring (source code)

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= Prime ideal of a noncommutative ring
{wiki=Prime_ideal#Prime_ideals_for_noncommutative_rings}

A proper two-sided ideal $P$ of a noncommutative ring is prime when $AB\subseteq P$ for two-sided ideals $A,B$ implies $A\subseteq P$ or $B\subseteq P$.

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