Transformation Semigroup

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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. This is the semigroup anologue of a permutation group. A transformation semigroup of a set has a tautological semigroup action on that set. Such actions are characterized by being effective, i.e., if two elements of the semigroup have the same action, then they are equal. An analogue of Cayley''s theorem shows that any semigroup can be realized as a transformation semigroup of some set.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131230950
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131230950
    • Format Fachbuch
    • Titel Transformation Semigroup
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 84
    • Genre Mathematik

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