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

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1 Citation (Scopus)

Abstract

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)21-30
Number of pages10
JournalInternational Electronic Journal of Algebra
Volume34
Issue number34
Early online date11 May 2023
DOIs
Publication statusPublished - 10 Jul 2023

Keywords

  • Heap
  • free group
  • free group functor

ASJC Scopus subject areas

  • Algebra and Number Theory

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