If \(I,J\) are ideals in the commutative ring \(R\), prove that \[ R/I\otimes _R R/J\cong R/(I+J), \] as \(R\)-modules.
Question
Math 6310 • Algebra
Spring 2013 • Question 5
Question
Spring 2013 • Question 5
If \(I,J\) are ideals in the commutative ring \(R\), prove that \[ R/I\otimes _R R/J\cong R/(I+J), \] as \(R\)-modules.