Contents

# Contents

## Definition

An absorption magma or annihilation magma is a magma $(M,\cdot)$ with an element $0\in M$ satisfying the absorption/annihilation axioms: for all $a \in M$, $0 \cdot a = 0$ and $a \cdot 0 = 0$.

## Properties

### Zero divisors

A non-zero element $a \in M$ is a zero divisor if thete exists a non-zero element $b \in M$ such that $a \cdot b = 0$ or $b \cdot a = 0$.