associativity of a tensor product for commutative rings

1. Proposition

Let \(R\) be a ring, \(M_1,M_2,M_3\) \(R\)-module. Then it holds for the tensor product

\begin{align*} ((M_1 \otimes M_2) \otimes M_3) \cong (M_1 \otimes (M_2 \otimes M_3)) \end{align*}

2. Proof

follows from

TODO

Date: nil

Author: Anton Zakrewski

Created: 2024-10-13 So 15:40