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arXiv · 1705.00914

On mono-unary algebras corresponding to n-ary groupoids

Hilário Fernandes de Araújo Júnior
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Abstract

In this paper we modify and generalize a construction presented by Novotn\'y: given a groupoid (a set equipped with a binary operation), it is defined a mono-unary algebra corresponding to that specific groupoid. We shall introduce and study a functor from the category of n-ary groupoids to the category of mono-unary algebras. The main result of this paper concerns the construction of homomorphisms between n-ary groupoids, a natural generalization of the method presented by Novotn\'y.

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Hilário Fernandes de Araújo Júnior. 2017-05-02. On mono-unary algebras corresponding to n-ary groupoids. https://arxiv.org/abs/1705.00914

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