Journal article
Classification of pointed rank one Hopf algebras
- Abstract:
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We classify pointed rank one Hopf algebras over fields of prime characteristic which are generated as algebras by the first term of the coradical filtration. We obtain three types of Hopf algebras presented by generators and relations. For Hopf algebras with semi-simple coradical only the first and second type appears. We determine the indecomposable projective modules for certain classes of pointed rank one Hopf algebras.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 259.0KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jalgebra.2008.01.028
Authors
- Publisher:
- Elsevier
- Journal:
- Journal of Algebra More from this journal
- Volume:
- 319
- Issue:
- 7
- Pages:
- 2889-2912
- Publication date:
- 2009-04-01
- Edition:
- Publisher's version
- DOI:
- ISSN:
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0021-8693
- Language:
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English
- Keywords:
- Subjects:
- UUID:
-
uuid:d7944d36-6272-4c01-8a61-839934e2eca4
- Local pid:
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ora:8586
- Deposit date:
-
2014-06-11
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2008
- Notes:
- Copyright 2008 Elsevier Inc. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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