{"title":"内纠缠g代数的Brauer商","authors":"Amani M. Alfadhli, A. Alghamdi","doi":"10.12988/IJA.2021.91277","DOIUrl":null,"url":null,"abstract":"In this paper, we present the concept of Brauer morphism in the quandle G-algebra setting together with an illustration example of this construction. We study the relationship between the relative trace map and the Brauer morphism. We introduce the concept of the defect group of a primitive idempotent by using the relative trace map and the Brauer morphism. The object of an interior quandle G-algebra is studied, as well as, we define the homomorphism of interior quandle G-algebras. Mathematics Subject Classification: Primary 20N02, Secondary 20B25","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Brauer quotient of interior quandle G-algebra\",\"authors\":\"Amani M. Alfadhli, A. Alghamdi\",\"doi\":\"10.12988/IJA.2021.91277\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present the concept of Brauer morphism in the quandle G-algebra setting together with an illustration example of this construction. We study the relationship between the relative trace map and the Brauer morphism. We introduce the concept of the defect group of a primitive idempotent by using the relative trace map and the Brauer morphism. The object of an interior quandle G-algebra is studied, as well as, we define the homomorphism of interior quandle G-algebras. Mathematics Subject Classification: Primary 20N02, Secondary 20B25\",\"PeriodicalId\":13756,\"journal\":{\"name\":\"International Journal of Algebra and Computation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Algebra and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12988/IJA.2021.91277\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/IJA.2021.91277","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, we present the concept of Brauer morphism in the quandle G-algebra setting together with an illustration example of this construction. We study the relationship between the relative trace map and the Brauer morphism. We introduce the concept of the defect group of a primitive idempotent by using the relative trace map and the Brauer morphism. The object of an interior quandle G-algebra is studied, as well as, we define the homomorphism of interior quandle G-algebras. Mathematics Subject Classification: Primary 20N02, Secondary 20B25
期刊介绍：
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.
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