{"title":"用阿贝尔群上的方程组计算坐标群","authors":"E. Daniyarova, V. Remeslennikov","doi":"10.1109/DYNAMICS.2018.8601438","DOIUrl":null,"url":null,"abstract":"In this paper we construct the procedure for calculating the coordinate group for an arbitrary system of equations over a given abelian group. We carry out the classification of all coordinate groups of algebraic sets over a given abelian group with coefficients in its fixed pure subgroup.","PeriodicalId":394567,"journal":{"name":"2018 Dynamics of Systems, Mechanisms and Machines (Dynamics)","volume":"647 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Calculation of the coordinate group by a system of equations over an abelian group\",\"authors\":\"E. Daniyarova, V. Remeslennikov\",\"doi\":\"10.1109/DYNAMICS.2018.8601438\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we construct the procedure for calculating the coordinate group for an arbitrary system of equations over a given abelian group. We carry out the classification of all coordinate groups of algebraic sets over a given abelian group with coefficients in its fixed pure subgroup.\",\"PeriodicalId\":394567,\"journal\":{\"name\":\"2018 Dynamics of Systems, Mechanisms and Machines (Dynamics)\",\"volume\":\"647 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 Dynamics of Systems, Mechanisms and Machines (Dynamics)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DYNAMICS.2018.8601438\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 Dynamics of Systems, Mechanisms and Machines (Dynamics)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DYNAMICS.2018.8601438","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Calculation of the coordinate group by a system of equations over an abelian group
In this paper we construct the procedure for calculating the coordinate group for an arbitrary system of equations over a given abelian group. We carry out the classification of all coordinate groups of algebraic sets over a given abelian group with coefficients in its fixed pure subgroup.
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