A binary operator representing coproducts or disjoint unions in category theory and algebraic structures.
Examples
Coproduct of sets indexed by natural numbers
\coprod_{n \in \mathbb{N}} X_n
Coproduct in category theory (disjoint union)
A \cong \coprod_{i=1}^n A_i
Coproduct of modules over a ring R
M \otimes (\coprod_{i \in I} N_i) \cong \coprod_{i \in I} (M \otimes N_i)