Δ-结合代数的Green环

摘要

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.%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.