semigroup

Noun

Meaning

semigroup (plural semigroups)

(mathematics) Any set for which there is a binary operation that is closed and associative.

Source: en.wiktionary.org

Phrases with the word

commutative semigroup abelian semigroup cyclic semigroup idempotent commutative semigroup infinite commutative semigroup nilpotent commutative semigroup

Examples

A 2-ary semigroup is just a semigroup. Source: Internet

A semigroup endowed with such an operation is called a U-semigroup. Source: Internet

A transformation semigroup can be made into an operator monoid by adjoining the identity transformation. Source: Internet

Conversely, the kernel of any semigroup homomorphism is a semigroup congruence. Source: Internet

Alternatively, a regular semigroup is inverse if and only if any two idempotents commute. Source: Internet

A semigroup without an identity element can be easily turned into a monoid by just adding an identity element. Source: Internet

Close letter words and terms

semigratuitous semigregarious semigroud semigroup homomorphism semigroup with cancellation semigroup with zero