{"title":"关于自由组的注释。用堆的范畴分解一个自由群函子","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":"{\"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}","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}
A note on a free group. The decomposition of a free group functor through the category of heaps
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.