A note on a free group. The decomposition of a free group functor through the category of heaps

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This note aims to introduce a left adjoint functor to the functor which assigns a heap to a group. The adjunction is monadic. It is explained how one can decompose a free group functor through the previously introduced adjoint and employ it to describe a slightly different construction of free groups.
Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalInternational Electronic Journal of Algebra
Early online date5 Mar 2023
Publication statusE-pub ahead of print - 5 Mar 2023


  • Algebra and Number Theory

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