关于半对称的一个注记
A note on semisymmetry
摘要：
本文综述了J.D.H. Smith，并将具有同伦的拟群范畴映射到具有同态的半对称拟群范畴。提出了一个新的半对称化函子。这个函子将一个拟群映射到它的平方，而不是像前一个函子那样映射到它的立方。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
