{"title":"Gröbner-Shirshov结合共形模的碱基","authors":"Yuqun Chen, Lili Ni","doi":"10.1142/9789811215476_0023","DOIUrl":null,"url":null,"abstract":"We construct free modules over an associative conformal algebra. We establish Composition-Diamond lemma for associative conformal modules. As applications, Gr\\\"obner-Shirshov bases of the Virasoro conformal module and module over the semidirect product of Virasoro conformal algebra and current algebra are given respectively.","PeriodicalId":106509,"journal":{"name":"New Trends in Algebras and Combinatorics","volume":"135 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Gröbner-Shirshov bases for associative conformal modules\",\"authors\":\"Yuqun Chen, Lili Ni\",\"doi\":\"10.1142/9789811215476_0023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct free modules over an associative conformal algebra. We establish Composition-Diamond lemma for associative conformal modules. As applications, Gr\\\\\\\"obner-Shirshov bases of the Virasoro conformal module and module over the semidirect product of Virasoro conformal algebra and current algebra are given respectively.\",\"PeriodicalId\":106509,\"journal\":{\"name\":\"New Trends in Algebras and Combinatorics\",\"volume\":\"135 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"New Trends in Algebras and Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/9789811215476_0023\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Trends in Algebras and Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789811215476_0023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Gröbner-Shirshov bases for associative conformal modules
We construct free modules over an associative conformal algebra. We establish Composition-Diamond lemma for associative conformal modules. As applications, Gr\"obner-Shirshov bases of the Virasoro conformal module and module over the semidirect product of Virasoro conformal algebra and current algebra are given respectively.
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