关于余模代数的Hopf-Jacobson根的一些结果(英文)

SOME RESULTS ON HOPF JACOBSON RADICAL FOR COMODULE ALGEBRAS

设Ｈ是Ｈｏｐｆ代数，Ａ是右Ｈ－余模代数，若（，）满射，则Ｊ（ＡｃｏＨ）＝ＬＨ（Ａ）∩ＡｃｏＨ，而且，若Ｊ（Ａ）是余模理想，则Ｊ（ＡｃｏＨ）＝ＪＨ（Ａ）∩ＡｃｏＨ．

Let H be a Hopf algebra, A a right H comodule algebra. If(,) is surjective, then J(A coH )=L H(A)∩A coH Furthermore, if J(A) is a comodule ideal, thenJ(A coH )=H H(A)∩A coH .