Definition:Semigroup/Additive
< Definition:Semigroup(Redirected from Definition:Additive Semigroup)
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Definition
Let $\struct {S, \circ}$ be a semigroup whose operation is addition.
Then $\struct {S, \circ}$ is an additive semigroup.
It is implicit in this definition that the elements of $S$ are numbers, or objects derived from numbers upon which the concept of addition is applicable.
Also see
Sources
- 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 29$. Semigroups: definition and examples