{"title":"Multisorted modules and their model\n theory","authors":"M. Prest","doi":"10.1090/CONM/730/14714","DOIUrl":null,"url":null,"abstract":"Multisorted modules, equivalently representations of quivers, equivalently additive functors on preadditive categories, encompass a wide variety of additive structures. In addition, every module has a natural and useful multisorted extension by imaginaries. The model theory of multisorted modules works just as for the usual, 1-sorted modules. A number of examples are presented, some in considerable detail.","PeriodicalId":318971,"journal":{"name":"Model Theory of Modules, Algebras and\n Categories","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Model Theory of Modules, Algebras and\n Categories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/CONM/730/14714","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
Multisorted modules, equivalently representations of quivers, equivalently additive functors on preadditive categories, encompass a wide variety of additive structures. In addition, every module has a natural and useful multisorted extension by imaginaries. The model theory of multisorted modules works just as for the usual, 1-sorted modules. A number of examples are presented, some in considerable detail.
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