# 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 ?
Note that S is non-void because if we fix s [member of] S, S contains the commutative semigroup <s> generated by s which is countable an amenable.
An LA-semigroup is a non-associative algebraic structure that is generally considered as a midway between a groupoid and a commutative semigroup but is very close to commutative semigroup because most of their properties are similar to commutative semigroup.
AG-groupoids generalizes the concept of commutative semigroup and have an important application within the theory of flocks.
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:
Our aim in this paper is to develop some characterizations for a new non-associative algebraic structure known as a left almost semigroup which is the generalization of a commutative semigroup (see [4]).
Gilmer, Commutative semigroup rings, the University of Chicago Press, Chicago, Illinois 1984.
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.
An LA-semigroup is basically a midway structure between a groupoid and 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.
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