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Cayley functions

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Abstract

An indexed function λa on a set S may be viewed as a partial groupoid a×S→S. In this sense the structure of a semigroup is the indexed composite of the structures of its inner translations. All the possible algebraic (orbit) structures of these functions are fully described, and those elements which may serve as index for a potential inner translation are specified.

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Authors and Affiliations

  1. Illinois Institute of Technology, 60616, Chicago, Illinois, USA

    David Zupnik

Authors
  1. David Zupnik
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Communicated by B. M. Schein

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Zupnik, D. Cayley functions. Semigroup Forum 3, 349–358 (1971). https://doi.org/10.1007/BF02572972

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  • DOI: https://doi.org/10.1007/BF02572972

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