Math 2.0

Group theory and generalizations Concept

Associative quotient of a magma

Summary

The associative quotient of a magma is the largest quotient of the magma that is a semigroup. It is obtained by forcing the associative law and nothing else. Every homomorphism from the magma to a semigroup factors in exactly one way through this quotient. So it is the universal way to make a magma associative.

Further reading

  1. Web https://en.wikipedia.org/wiki/Magma_(algebra)
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Changed2 November 2026

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