semigroup
noun Date: 1904 a mathematical set that is closed under an associative binary operation

New Collegiate Dictionary. 2001.

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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 — /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

  • 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

  • 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

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