| Title:
|
A Maschke type theorem for relative Hom-Hopf modules (English) |
| Author:
|
Guo, Shuangjian |
| Author:
|
Chen, Xiu-Li |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
64 |
| Issue:
|
3 |
| Year:
|
2014 |
| Pages:
|
783-799 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(H,\alpha )$ be a monoidal Hom-Hopf algebra and $(A,\beta )$ a right $(H,\alpha )$-Hom-comodule algebra. We first introduce the notion of a relative Hom-Hopf module and prove that the functor $F $ from the category of relative Hom-Hopf modules to the category of right $(A, \beta )$-Hom-modules has a right adjoint. Furthermore, we prove a Maschke type theorem for the category of relative Hom-Hopf modules. In fact, we give necessary and sufficient conditions for the functor that forgets the $(H, \alpha )$-coaction to be separable. This leads to a generalized notion of integrals. (English) |
| Keyword:
|
monoidal Hom-Hopf algebra |
| Keyword:
|
separable functors |
| Keyword:
|
Maschke type theorem |
| Keyword:
|
total integral |
| Keyword:
|
relative Hom-Hopf module |
| MSC:
|
16T05 |
| idZBL:
|
Zbl 06391525 |
| idMR:
|
MR3298560 |
| DOI:
|
10.1007/s10587-014-0132-7 |
| . |
| Date available:
|
2014-12-19T16:11:52Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144058 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
