# Definition:Division Subring

## Definition

Let $\struct {R, +, \circ}$ be a ring.

A division subring of $\struct {R, +, \circ}$ is a subset $S$ of $R$ such that $\struct {S, +_S, \circ_S}$ is a division ring.

## Also see

• Results about Division Subrings can be found here.