Practice problem
Let I,JI,JI,J be ideals in a (commutative, unital) ring AAA. Compute the AAA-algebra tensor product A/I⊗AA/JA/I\otimes_A A/JA/I⊗AA/J.
A/IJA/IJA/IJ
A/(I+J)A/(I+J)A/(I+J)
Neither answer above is always correct.
Hint please.
Type a concept, like “slope” or “photosynthesis”.