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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© 1976 Springer Basel AG
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Borůvka, O. (1976). Groupoids. In: Foundation of the Theory of Groupoids and Groups. Springer, Basel. https://doi.org/10.1007/978-3-0348-4121-4_2
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DOI: https://doi.org/10.1007/978-3-0348-4121-4_2
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