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