Math 2.0

Order, lattices, ordered algebraic structures Ordered algebraic structures Concept

Ordered semigroup

Summary

An ordered semigroup is a semigroup with a partial order that is preserved by multiplication on both sides. It is the most general of the ordered algebraic structures with one associative operation. Ordered monoids and ordered groups are special cases. Ordered semigroups appear in the theory of formal languages, of semirings and of residuated structures.

Further reading

  1. Web https://en.wikipedia.org/wiki/Ordered_semigroup
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TagHA79YFZAQR
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Kindconcept
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MSC06F05
SpecializesSemigroup
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Changed2 November 2026

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