nLab
absorption magma

Contents

Contents

Definition

An absorption magma or annihilation magma is a magma (M,)(M,\cdot) with an element 0M0\in M satisfying the absorption/annihilation axioms: for all aMa \in M, 0a=00 \cdot a = 0 and a0=0a \cdot 0 = 0.

Properties

Zero divisors

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

Examples

See also

Last revised on May 21, 2021 at 20:58:27. See the history of this page for a list of all contributions to it.