摘要
利用9维Taft代数的Green环r(H_3)与2个未定元的整系数多项式间的关系,基于环同态基本定理,得到r(H_3)的任一自同构映生成元的像在一组基下所对应的系数,从而证明了9维Taft代数的Green环r(H_3)的自同构群Aut(r(H_3))同构于循环群Z2.
This paper computes the coefficients corresponding to the images of generators for a given set of bases by using the relationship between the Green ring of 9-dimensional Taft algebra and the polynomial algebra in two variables over the ring of integers.It turns out that the automorphism group of the Green ring of 9-dimensional Taft algebra is isomorphic to the cyclic group of order 2.
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
2017年第1期1-4,共4页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(11471282)
