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一类Hopf代数的Killing根
引用本文:唐帅,王志华.一类Hopf代数的Killing根[J].河北师范大学学报(自然科学版),2012,36(1):21-23.
作者姓名:唐帅  王志华
作者单位:1. 泰州师范高等专科学校数理信息学院,江苏泰州,225300
2. 南京师范大学泰州学院,江苏泰州,225300
摘    要:主要考虑了一类Hopf代数的Killing根.作为特例,得到了Taft代数与广义Taft代数的Killing根.这些Killing根均为包含Jacobson根的Hopf理想,特别地Taft代数的Killing根为Jacobson根.

关 键 词:Hopf代数  Killing根  Taft代数  广义Taft代数

Killing Radicals of a Family of Hopf Algebras
TANG Shuai , WANG Zhihua.Killing Radicals of a Family of Hopf Algebras[J].Journal of Hebei Normal University,2012,36(1):21-23.
Authors:TANG Shuai  WANG Zhihua
Institution:1.Department of Mathematics and Physics,Taizhou Teachers College,Jiangsu Taizhou 225300,China;2.Taizhou College,Nanjing Normal University,Jiangsu Taizhou 225300,China)
Abstract:The Killing radicals of a family of Hopf algebras are considered.As special examples,the Killing radicals of Taft algebras and generalized Taft algebras are also given.It turns out that all these Killing radicals are Hopf ideals whicncontaining Jacobson radicals.Moreover the Killing radicals of Taft algebrss are exactly the Jacobson radicals.
Keywords:Hopf algebra  Killing radical  Taft algebra  generalized Taft algebra
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