摘要
给出如下几个主要结论:①设A为可分代数,则C余可分当且仅当卷积余代数AC余可分;②设A为有限维半单可换Hopf代数,B为A的子Hopf代数,如果A余可分,那么Smash积#(A,B)为可分代数;③设K→fHgπL,为Hopf代数的可裂短正合序列,则H余可分当且仅当K,L余可分,且当H双可分时。
This paper primarily gives the following conclusions: ① Let A be an algebra, thus C is a coseparable coalgebra if and only if A*C is a coseparable convolution coalgebra; ② Let A be a dimensional semisimple commutative Hopf algebra and B be a sub Hopf algebra of A . if A is a coseparable coalgebra, then smash product #(A,B) is a separable algebra; ③ Let K[DD(]fHgπL be a split short exact sequence of Hopf algebras, thus H is a coseparable Hopf algebra if and only if K and L are coseparable Hopf algebras, also if H is a bi separable Hopf algebra, then L is a bi separable Hopf algebra.
出处
《东南大学学报(自然科学版)》
EI
CAS
CSCD
1999年第2期116-120,共5页
Journal of Southeast University:Natural Science Edition
基金
南京农业大学基金