{"title":"The Novikov coalgebras","authors":"D. Kozybaev, A. Naurazbekova","doi":"10.32523/2616-7182/bulmathenu.2022/2.1","DOIUrl":null,"url":null,"abstract":"In the present paper, necessary and sufficient conditions are found under which a coalgebra is a left-symmetriccoalgebra. A method for constructing coalgebras is described. An example of a left-symmetric coalgebra is constructed.Necessary and sufficient conditions are given under which a left-symmetric coalgebra is a Novikov coalgebra. An exampleof a non-locally finite Novikov coalgebra is constructed.","PeriodicalId":286555,"journal":{"name":"BULLETIN of the L N Gumilyov Eurasian National University MATHEMATICS COMPUTER SCIENCE MECHANICS Series","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"BULLETIN of the L N Gumilyov Eurasian National University MATHEMATICS COMPUTER SCIENCE MECHANICS Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32523/2616-7182/bulmathenu.2022/2.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In the present paper, necessary and sufficient conditions are found under which a coalgebra is a left-symmetriccoalgebra. A method for constructing coalgebras is described. An example of a left-symmetric coalgebra is constructed.Necessary and sufficient conditions are given under which a left-symmetric coalgebra is a Novikov coalgebra. An exampleof a non-locally finite Novikov coalgebra is constructed.
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