Free Magmas

• Autorzy: Marco Riccardi
• Języki publikacji: EN

Abstrakty

EN

This article introduces the free magma M(X) constructed on a set X [6]. Then, we formalize some theorems about M(X): if f is a function from the set X to a magma N, the free magma M(X) has a unique extension of f to a morphism of M(X) into N and every magma is isomorphic to a magma generated by a set X under a set of relators on M(X). In doing it, the article defines the stable subset under the law of composition of a magma, the submagma, the equivalence relation compatible with the law of composition and the equivalence kernel of a function. We also introduce some schemes on the recursive function.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2010
• Tom: 18
• Numer: 1
• Strony: 17-26

Daty

wydano

2010-01-01

online

2011-01-05

Twórcy

autor

Marco Riccardi

• Via del Pero 102, 54038 Montignoso, Italy

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-010-0003-0