{"title":"A note on a free group. The decomposition of a free group functor through the category of heaps","authors":"Bernard Rybołowicz","doi":"10.24330/ieja.1260475","DOIUrl":null,"url":null,"abstract":"This note aims to introduce a left adjoint functor to the functor\nwhich assigns a heap to a group. The adjunction is monadic. It is\nexplained how one can decompose a free group functor through the\npreviously introduced adjoint and employ it to describe a slightly\ndifferent construction of free groups.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24330/ieja.1260475","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
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.
期刊介绍：
The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.
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