Δ-结合代数的Green环  

Green Rings of the Δ-associative Algebras

作　　者：苏冬[1] 杨士林[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《北京工业大学学报》2017年第8期1275-1282,共8页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(11271043;11471186);北京市自然科学基金资助项目(1162002)

摘　　要：为了研究有限维Δ-结合代数的Green环,首先引入2类由八维半单Hopf代数扩张而得的有限维Δ-结合代数,然后引入有限维Δ-结合代数的Green环的概念,给出这2类有限维Δ-结合代数的Green环的生成元和生成关系,从而确定了它们的结构.To study the Green rings of finite dimensional Δ-associative algebras,firstly,two classes of finite dimensional Δ-associative algebras were introduced by expanding eight dimension semisimple Hopf algebras. Then by generalizing the definition of the Green rings of the Hopf algebras to the Δ-associative algebras,the Green rings of the two classes of finite dimensional Δ-associative algebras and the structure were determined by the generators and relations.

关 键 词：弱HOPF代数 Δ-结合代数 Green环 HOPF代数 

分 类 号：O153.3[理学—数学]