semigroup


Also found in: Encyclopedia, Wikipedia.
Related to semigroup: Semigroup theory

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 ?
Yet another motivation for studying unary identities of epigroups comes from the theory of finite semigroups. Every finite semigroup can be treated as an epigroup, and the unary operation of pseudoinversion is an implicit operation in the sense of Jan Reiterman Reiterman (1982), that is, it commutes with the homomorphisms between finite semigroups.
An AG-groupoid is a non associative and non-commutative algebraic structure mid way between a groupoid and commutative semigroup. AG-groupoids generalizes the concept of commutative semigroup and have an important application within the theory of flocks.
This progress lead the researchers to the detailed study of soft rings [18], soft semigroup [19] and soft BCK/BCI algebra [20].
The Centers for Disease Control and Prevention's Advisory Committee on Immunization Practices unanimously recommended semigroup B meningococcal (MenB) vaccination for several groups at increased risk for the disease, including students during outbreaks at college campuses, but is not addressing broader vaccine use in adolescents and college students until June 2015.
[12] idea, we introduce a more generalized form of ([epsilon], [epsilon] [disjunction]q)-fuzzy generalized bi-ideals called ([alpha], [beta])-fuzzy generalized bi-ideals of an ordered semigroup S, where [alpha], [beta] [member of] {[[epsilon].sub.[gamma]], [q.sub.[delta]], [[epsilon].sub.[gamma]] [conjunction] [[epsilon].sub.[gamma]] [disjunction] [q.sub.[delta]]} with [alpha] [not equal to] [[epsilon].sub.[gamma]] [conjunction] [q.sub.[delta]] and discuss several important and fundamental aspects of ordered semigroups in terms of ([[epsilon].sub.[gamma]], [[epsilon].sub.[gamma]] [disjunction] [q.sub.[delta]])-fuzzy generalized bi-ideals and ([[epsilon].sub.[gamma]], [[epsilon].sub.[gamma]] [disjunction] [q.sub.[delta]])-fuzzy generalized bi-ideals.
In this paper, we will find the answer to this question in a special case, when the constraint set C is given by the fixed point set of a nonexpansive semigroup. More precisely, let [mathematical expression not reproducible] be a nonexpansive semigroup on H with nonempty fixed point set [mathematical expression not reproducible] Fix(T(s)).
For S-semimodules MS and SN, their tensor product M[cross product]N is defined as the factor semigroup of the free commutative additive semigroup F=F(M x N) generated by the set M x N, factorized by the congruence [rho] generated by all ordered pairs of the form
Those estimates imply nice spectral properties,he says, as well as exponential decay properties for the associated semigroup, The admissible boundary conditions cover a wide range of applications for the usual scalar Kramers-Fokker-Planck equation for Bismut's hypo-elliptic Laplacian.
A system (S, *, [less than or equal to]), in which (S, *) is a semigroup, (S, [less than or equal to]) is a poset with both left and right compatibility, i.e., a [less than or equal to] b [right arrow] ax [less than or equal to] bx, xa [less than or equal to] xb for all a, b, x [less than or equal to] S, is known as ordered semigroup.
We first construct the local solutions by the semigroup theory to linearized equations for a small time.
(1) The semigroup property of the Riesz fractional integration is