\oplus

The \oplus symbol represents the direct sum in mathematics, often used in the context of vector spaces, modules, or other algebraic structures. It denotes a combination of two or more objects into a new one, preserving certain properties of the original objects.

Examples

Direct sum of vector spaces V and W

V \oplus W

Direct sum of algebraic structures A and B resulting in C

A \oplus B = C

Direct sum of two cyclic groups

\mathbb{Z}_2 \oplus \mathbb{Z}_3