{"title":"Mittag-Leffler模块和可定义的子类别","authors":"P. Rothmaler","doi":"10.1090/CONM/730/14716","DOIUrl":null,"url":null,"abstract":"We study (relative) $\\mathcal K$-Mittag-Leffler modules as was done in the author's habilitation thesis, rephrase old, unpublished results in terms of definable subcategories, and present newer ones, culminating in a characterization of countably generated $\\cal K$-Mittag-Leffler modules.","PeriodicalId":318971,"journal":{"name":"Model Theory of Modules, Algebras and\n Categories","volume":"224 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Mittag-Leffler modules and definable\\n subcategories\",\"authors\":\"P. Rothmaler\",\"doi\":\"10.1090/CONM/730/14716\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study (relative) $\\\\mathcal K$-Mittag-Leffler modules as was done in the author's habilitation thesis, rephrase old, unpublished results in terms of definable subcategories, and present newer ones, culminating in a characterization of countably generated $\\\\cal K$-Mittag-Leffler modules.\",\"PeriodicalId\":318971,\"journal\":{\"name\":\"Model Theory of Modules, Algebras and\\n Categories\",\"volume\":\"224 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Model Theory of Modules, Algebras and\\n Categories\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/CONM/730/14716\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Model Theory of Modules, Algebras and\n Categories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/CONM/730/14716","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mittag-Leffler modules and definable
subcategories
We study (relative) $\mathcal K$-Mittag-Leffler modules as was done in the author's habilitation thesis, rephrase old, unpublished results in terms of definable subcategories, and present newer ones, culminating in a characterization of countably generated $\cal K$-Mittag-Leffler modules.