Definition:Semigroup/Also known as
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Semigroup: Also known as
Some older texts hyphenate semigroup as semi-group.
A semigroup is also known as an associative algebraic structure.
Some sources call this a monoid, but this term usually (and on $\mathsf{Pr} \infty \mathsf{fWiki}$) has a different meaning.
Make sure you understand which is being used.
Sources
- 1951: Nathan Jacobson: Lectures in Abstract Algebra: Volume $\text { I }$: Basic Concepts ... (previous) ... (next): Chapter $\text{I}$: Semi-Groups and Groups: $1$: Definition and examples of semigroups: Definition $1$