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arXiv · 1507.02149

A note on semisymmetry

Aleksandar Krapez·Zoran Petric
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Abstract

A survey of properties of the adjunction involving a semisymmetrization functor, which was suggested by J.D.H. Smith, and which maps the category of quasigroups with homotopies to the category of semisymmetric quasigroups with homomorphisms, is given. A new semisymmetrization functor is suggested. This functor maps a quasigroup to its square instead to its cube as it was the case with the former functor.

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Aleksandar Krapez, Zoran Petric. 2015-07-07. A note on semisymmetry. https://arxiv.org/abs/1507.02149

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