Definition:Division Ring/Definition 3
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Definition
A division ring is a ring with unity $\struct {R, +, \circ}$ such that:
- $R$ has no proper elements.
Also see
- Results about division rings can be found here.
Sources
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- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): $\S 23$
- 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 55 \ (3)$. The definition of a ring and its elementary consequences