A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
A Semidirect Product Decomposition for Certain Hopf Algebras Over an Algebraically Closed Field

1976
*
Proceedings of the American Mathematical Society
*

Let H be a finite dimensional Hopf algebra over an algebraically closed field. We show that if H is commutative and the coradical H0 is a sub Hopf algebra, then the canonical inclusion H0 -> H has a Hopf algebra retract; or equivalently, if H is cocommutative and the Jacobson radical JiH) is a Hopf ideal, then the canonical projection H -» H/J(H)ras a Hopf algebra section. For a Hopf algebra H we denote the coradical (i.e. the sum of the simple subcoalgebras of H) by H0, and the Jacobson

doi:10.2307/2042031
fatcat:cimxhv2kmvbppbenbcvzr2yday