Let \(I\) and \(J\) be ideals of a commutative ring \(R\). Show that \((R/I)\otimes _R(R/J)\) is isomorphic to \(R/(I+J)\).
Question
Math 6310 • Algebra
Fall 1996 • Question 10
Question
Fall 1996 • Question 10
Let \(I\) and \(J\) be ideals of a commutative ring \(R\). Show that \((R/I)\otimes _R(R/J)\) is isomorphic to \(R/(I+J)\).