{"title":"群分次自同态代数与Morita等价","authors":"A. Mărcuş, Virgilius-Aurelian Minuță","doi":"10.24193/mathcluj.2020.1.08","DOIUrl":null,"url":null,"abstract":"We prove a group graded Morita equivalences version of the \"butterfly theorem\" on character triples. This gives a method to construct an equivalence between block extensions from another related equivalence.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2019-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Group graded endomorphism algebras and Morita equivalences\",\"authors\":\"A. Mărcuş, Virgilius-Aurelian Minuță\",\"doi\":\"10.24193/mathcluj.2020.1.08\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a group graded Morita equivalences version of the \\\"butterfly theorem\\\" on character triples. This gives a method to construct an equivalence between block extensions from another related equivalence.\",\"PeriodicalId\":39356,\"journal\":{\"name\":\"Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-11-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24193/mathcluj.2020.1.08\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2020.1.08","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Group graded endomorphism algebras and Morita equivalences
We prove a group graded Morita equivalences version of the "butterfly theorem" on character triples. This gives a method to construct an equivalence between block extensions from another related equivalence.