{"title":"部分行为的张量积","authors":"Heleen Saarse, K. Väljako","doi":"10.12697/acutm.2022.26.19","DOIUrl":null,"url":null,"abstract":"In this article we define the tensor product of partial acts over a semigroup and prove several properties of this tensor product. We also define the notion of a polite partial biact, which is needed to define partial actions on the tensor product of partial acts. Finally, we prove that a certain tensor functor of partial acts is left adjoint of a certain hom-functor of partial acts.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"70 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Tensor product of partial acts\",\"authors\":\"Heleen Saarse, K. Väljako\",\"doi\":\"10.12697/acutm.2022.26.19\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we define the tensor product of partial acts over a semigroup and prove several properties of this tensor product. We also define the notion of a polite partial biact, which is needed to define partial actions on the tensor product of partial acts. Finally, we prove that a certain tensor functor of partial acts is left adjoint of a certain hom-functor of partial acts.\",\"PeriodicalId\":42426,\"journal\":{\"name\":\"Acta et Commentationes Universitatis Tartuensis de Mathematica\",\"volume\":\"70 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-11-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta et Commentationes Universitatis Tartuensis de Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12697/acutm.2022.26.19\",\"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":"Acta et Commentationes Universitatis Tartuensis de Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12697/acutm.2022.26.19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this article we define the tensor product of partial acts over a semigroup and prove several properties of this tensor product. We also define the notion of a polite partial biact, which is needed to define partial actions on the tensor product of partial acts. Finally, we prove that a certain tensor functor of partial acts is left adjoint of a certain hom-functor of partial acts.
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