The Associative Law
Identifieur interne : 003177 ( Main/Exploration ); précédent : 003176; suivant : 003178The Associative Law
Auteurs : Richard Hubert Bruck [États-Unis]Source :
- Ergebnisse der Mathematik und ihrer Grenzgebiete ; 1971.
Abstract
Abstract: A semigroup S is an associative groupoid; that is, a groupoid such that the associative law (1.1) ( x y ) z = x ( y z ) $$\left( {xy} \right)z = x\left( {yz} \right)$$ holds for all x, y, z in S. [Many authors, including most of those writing in French, use the term “demigroup” for an associative groupoid; these authors reserve “semigroup” for what we shall call a cancellation semigroup. Other terms are “monoid” (Bourbaki) and “associative system” (Russian authors). The present terminology is standard in English and German.]
Url:
DOI: 10.1007/978-3-662-43119-1_2
Affiliations:
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Le document en format XML
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