{"title":"Projective finitely supported M-sets","authors":"Khadijeh Keshvardoost, M. Haddadi","doi":"10.56415/qrs.v30.19","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to provide simple characterizations of the projective objects in the category of finitely supported M-sets. To do so, first, we introduce the notion of zero-retraction monoid and then characterize projective finitely supported M-sets where M contains a zero-retraction monoid.","PeriodicalId":38681,"journal":{"name":"Quasigroups and Related Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quasigroups and Related Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56415/qrs.v30.19","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: 0
Abstract
The purpose of this paper is to provide simple characterizations of the projective objects in the category of finitely supported M-sets. To do so, first, we introduce the notion of zero-retraction monoid and then characterize projective finitely supported M-sets where M contains a zero-retraction monoid.
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