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inverse semigroup

См. также в других словарях:

  • 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

  • inverse semigroup — apgrąžinis pusgrupis statusas T sritis fizika atitikmenys: angl. inverse semigroup vok. inverse Halbgruppe, f rus. инверсная полугруппа, f pranc. semi groupe inverse, m …   Fizikos terminų žodynas

  • Symmetric inverse semigroup — In modern algebra, the set mathcal{I} X of all partial one one transformations on a set X forms an inverse semigroup, called the symmetric inverse semigroup (or monoid) on X . In general mathcal{I} X is not commutative. More details are available …   Wikipedia

  • Inverse element — In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication. The intuition is of an element that can undo the effect of combination with… …   Wikipedia

  • 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

  • inverse Halbgruppe — apgrąžinis pusgrupis statusas T sritis fizika atitikmenys: angl. inverse semigroup vok. inverse Halbgruppe, f rus. инверсная полугруппа, f pranc. semi groupe inverse, m …   Fizikos terminų žodynas

  • 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

  • Inverse relation — In mathematics, the inverse relation of a binary relation is the relation that occurs when you switch the order of the elements in the relation. For example, the inverse of the relation child of is the relation parent of . In formal… …   Wikipedia

  • Regular semigroup — A regular semigroup is a semigroup S in which every element is regular, i.e., for each element a , there exists an element x such that axa = a . [Howie 1995 : 54.] Regular semigroups are one of the most studied classes of semigroups, and their… …   Wikipedia

  • Bicyclic semigroup — In mathematics, the bicyclic semigroup is an algebraic object important for the structure theory of semigroups. Although it is in fact a monoid, it is usually referred to as simply a semigroup. The first published description of this object was… …   Wikipedia

  • Transformation semigroup — In algebra, a transformation semigroup (or composition semigroup) is a collection of functions from a set to itself which is closed under function composition. If it includes the identity function, it is a transformation (or composition) monoid.… …   Wikipedia

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