Category:Definitions/Coprime Ideals

This category contains definitions related to Coprime Ideals.
Related results can be found in Category:Coprime Ideals.

Let $A$ be a commutative ring with unity.

Let $I, J \subseteq A$ be ideals.

Then $I$ and $J$ are coprime if and only if their sum is the unit ideal:

$I + J = A$.