Definition:Ring of Quaternions

Definition

The ring of quaternions $\struct {\H, +, \times}$ is the set of quaternions under the two operations of quaternion addition and quaternion multiplication.

Also see

• Ring of Quaternions is Ring
• Quaternions form Skew Field

Sources

• 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 55$. Special types of ring and ring elements: $(3)$