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symmetric semigroup

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  • 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

  • Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …   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

  • 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

  • Numerical semigroup — In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number and the binary operation is the operation of addition of integers. Also, the integer 0 must… …   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

  • Munn semigroup — In mathematics, the Munn semigroup is built from an arbitrary semilattice E. Contents 1 Construction s steps 2 Theorem 3 Example 4 References …   Wikipedia

  • Special classes of semigroups — In mathematics, a semigroup is a nonempty set together with an associative binary operation. A special class of semigroups is a class of semigroups satisfying additional properties or conditions. Thus the class of commutative semigroups consists… …   Wikipedia

  • Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

  • List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

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