We study a symmetric Markov extension of k-algebras N β M, a certain kind of Frobenius extension with conditional expectation that is tracial on the centralizer and dual bases with a separability property. We place a depth two condition on this extension, which is essentially the requirement that th
When Hopf algebras are Frobenius algebras
β Scribed by Bodo Pareigis
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 457 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0021-8693
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Some finiteness conditions for infinite dimensional coalgebras, particularly right or left semiperfect coalgebras, or co-Frobenius Hopf algebras are studied. As well, examples of co-Frobenius Hopf algebras are constructed via a Hopf algebra structure on an Ore extension of a group algebra, and it is