- semigroup
- noun Date: 1904 a mathematical set that is closed under an associative binary operation
New Collegiate Dictionary. 2001.
semigroup
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Semigroup — This article is about the algebraic structure. For applications to differential equations, see C0 semigroup. In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup… … Wikipedia
Semigroup — Demi groupe Un demi groupe est un ensemble muni d une loi de composition interne binaire associative. S il possède un élément neutre, on aura affaire à un monoïde. Si la loi est commutative, ce sera un demi groupe commutatif et un semi groupe si… … Wikipédia en Français
semigroup — pusgrupis statusas T sritis fizika atitikmenys: angl. half group; semigroup vok. Halbgruppe, f rus. полугруппа, f pranc. semi groupe, m … Fizikos terminų žodynas
Semigroup with involution — In mathematics, in semigroup theory, an involution in a semigroup is a transformation of the semigroup which is its own inverse and which is an anti automorphism of the semigroup. A semigroup in which an involution is defined is called a… … Wikipedia
Semigroup action — In algebra and theoretical computer science, an action or act of a semigroup on a set is a rule which associates to each element of the semigroup a transformation of the set in such a way that the product of two elements of the semigroup (using… … Wikipedia
semigroup — /sem ee groohp /, n. Math. an algebraic system closed under an associative binary operation. [1925 30; SEMI + GROUP] * * * … Universalium
semigroup — noun Any set for which there is a binary operation that is both closed and associative … Wiktionary
semigroup — semi·group … English syllables
semigroup — ˈsemē, mə̇ˌˌ noun Etymology: semi + group (I) : a mathematical set that is closed under an associative binary operation * * * /sem ee groohp /, n. Math. an algebraic system closed under an associative binary operation. [1925 30; SEMI + GROUP] … Useful english dictionary
Inverse semigroup — In mathematics, an inverse semigroup S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy. Inverse semigroups appear in a range of contexts; for example, they can be employed in the… … Wikipedia
