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Zusammenfassung

By a multiplication or a binary operation in the set G we mean a relationship between the elements of G by which there corresponds, to every two-membered sequence of the elements a,b ϵ G, exactly one element c ϵ G; in other words, a relationship by which every two-membered sequence of the elements a, b of G is mapped onto an element c of the same set G. The element c is called the product of a and b and is denoted by a.b or ab; so we have c = ab, where a, b is the first, second factor of the product c, respectively.

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Copyright information

© Springer Basel AG 1976

Authors and Affiliations

  • O. Borůvka
    • 1
  1. 1.Grundlagen der Gruppoid- und GruppentheorieVEB Deutscher Verlag der WissenschaftenBerlinDeutschland

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