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Composition of Transformations

  • E. S. Lyapin
  • A. Ya. Aizenshtat
  • M. M. Lesokhin

Abstract

Let X be any set. A mapping of X into itself is called a transformation of X. Since a transformation is a special case of a mapping of sets, we will naturally retain the terminology and notation of Chapter 1.2, with one difference. By convention we will denote transformations by lower-case Greek letters, and elements of the set by lower-case Roman letters. In particular, if α maps x onto y, then y will be called the image of x under α, and we write αx = y or α(x) = y.

Keywords

Rational Number Binary Relation Symmetric Group Regular Semigroup Klein Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • E. S. Lyapin
  • A. Ya. Aizenshtat
  • M. M. Lesokhin

There are no affiliations available

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