Let \(R\) be a commutative ring. An ideal \(I\normal R\) is irreducible if for all ideals \(J_1, J_2 \normal R\) with \(I = J_1 \cap J_2\), either \(J_1 = I\) or \(J_2 = I\).
Irreducible ideal
D-FJ53F
D-FJ53F
Let \(R\) be a commutative ring. An ideal \(I\normal R\) is irreducible if for all ideals \(J_1, J_2 \normal R\) with \(I = J_1 \cap J_2\), either \(J_1 = I\) or \(J_2 = I\).