{"title":"uu代数的张量积","authors":"Maha Alsharif, A. Alghamdi","doi":"10.17654/0972087122025","DOIUrl":null,"url":null,"abstract":"In this work, we recall some properties of tensor product of two algebras. Then, we study the so-called UU algebras. Our main result is to show that the tensor product of two UU algebras is again a UU algebra. We make the tensor over an algebraically closed field and explain why the result does not hold for a field which is not algebraically closed. We illustrate our result with examples and remarks.","PeriodicalId":378579,"journal":{"name":"Far East Journal of Mathematical Sciences (FJMS)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"TENSOR PRODUCT OF UU ALGEBRAS\",\"authors\":\"Maha Alsharif, A. Alghamdi\",\"doi\":\"10.17654/0972087122025\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we recall some properties of tensor product of two algebras. Then, we study the so-called UU algebras. Our main result is to show that the tensor product of two UU algebras is again a UU algebra. We make the tensor over an algebraically closed field and explain why the result does not hold for a field which is not algebraically closed. We illustrate our result with examples and remarks.\",\"PeriodicalId\":378579,\"journal\":{\"name\":\"Far East Journal of Mathematical Sciences (FJMS)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Far East Journal of Mathematical Sciences (FJMS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17654/0972087122025\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Far East Journal of Mathematical Sciences (FJMS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17654/0972087122025","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this work, we recall some properties of tensor product of two algebras. Then, we study the so-called UU algebras. Our main result is to show that the tensor product of two UU algebras is again a UU algebra. We make the tensor over an algebraically closed field and explain why the result does not hold for a field which is not algebraically closed. We illustrate our result with examples and remarks.