Zero Divisor

Nonzero ring element that annihilates another nonzero element — the property whose appearance splits the Cayley–Dickson tower at the sedenions.

Specifications & Metrics

type

Zero Divisors & Annihilators

Core Principles & Analysis

• A ring element that can be multiplied by some nonzero element to give 0.
• Left and right zero divisors are distinguished by the side on which the annihilating factor stands.
• They appear in matrix rings and, among the Cayley–Dickson algebras, in every algebra from the sedenions upward.

Sources

• Wikipedia: Zero divisor