摘要:

This paper investigates the effects of the imposition of some chain conditions on groups having a generalized central series. It also provides a characterization ofPC-groups andCC-groups with finite abelian section rank

ISSN:0092-7872    

DOI:10.1080/00927879808826326

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

Throughout this paperLdenotes a Hopf algebra over the ground fieldkwith a bijective antipodeSL, andHdenotes a Hopf algebra in the Yetter-Drinfeld categoryWe prove the fundamental theorem for rightH-Hopf modules in. We also show that ifHis finite dimensional, itsk-dualH*has a rightH-Hopf module structure which is not analogous to usual one. As an application we give a direct proof of the [FMS] result: ifHis finite-dimensional, then it is a Frobeniusk-algebra. We also imply the [FMS] description of the dual bases forH

ISSN:0092-7872    

DOI:10.1080/00927879808826327

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826305

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor