semigroup

(redirected from Commutative semigroup)
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sem·i·group

 (sĕm′ē-gro͞op′, sĕm′ī-)
n. Mathematics
A set for which there is a binary operation that is closed and associative.

semigroup

(ˈsɛmɪˌɡruːp)
n
a set together with an associative binary operation
Translations
semigruppo
References in periodicals archive ?
A, [cross product]) is a commutative semigroup with ([for all] x [member of] A) (x [cross product] x = x), where the semigroup operation is strongly extensional:
An Abel- Grassmann's groupoid, abbreviated as an AG-groupoid (or in some papers left almost semigroup), is a non-associative algebraic structure mid way between a groupoid and a commutative semigroup.
Let G be a Smarandache Groupoid, G is said to be a Smarandache commutative groupoid if there is a proper subset, which is a semigroup, is a commutative semigroup.
3) For all e [member of] E(S),eSe is a commutative semigroup and [[lambda].
In commutative semigroup the prime and weakly Prime ideals coincide.