Definition:Division Subring
Jump to navigation
Jump to search
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.
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {IV}$: Rings and Fields: $23$. The Field of Rational Numbers