000 | 03138nam a22004815i 4500 | ||
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001 | 978-3-540-48042-6 | ||
003 | DE-He213 | ||
005 | 20190213151045.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540480426 _9978-3-540-48042-6 |
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024 | 7 |
_a10.1007/b83849 _2doi |
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_aMAT002010 _2bisacsh |
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_aPBF _2thema |
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082 | 0 | 4 |
_a512.46 _223 |
100 | 1 |
_aCaenepeel, Stefaan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aFrobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations _h[electronic resource] / _cby Stefaan Caenepeel, Gigel Militaru, Shenglin Zhu. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
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300 |
_aXIV, 354 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1787 |
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505 | 0 | _aPart I: Entwined modules and Doi-Koppinen Hopf modules -- 1. Generalities -- 2. Doi-Koppinen Hopf modules and entwined modules -- 3. Frobenius and separable functors for entwined modules -- 4. Applications -- Part II: Nonlinear equations -- 5. Yetter-Drinfeld modules and the quantum Yang-Baxter equation -- 6. Hopf modules and the pentagon equation -- 7. Long dimodules and the Long equation -- 8. The Frobenius-Separability equation -- References -- Index. | |
520 | _aDoi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the past decades, such as Hopf modules, graded modules, Yetter-Drinfeld modules. The book presents a unified theory, with focus on categorical concepts generalizing the notions of separable and Frobenius algebras, and discussing relations with smash products, Galois theory and descent theory. Each chapter of Part II is devoted to a particular nonlinear equation. The exposé is organized in such a way that the analogies between the four are clear: the quantum Yang-Baxter equation is related to Yetter-Drinfeld modules, the pentagon equation to Hopf modules, and the Long equation to Long dimodules. The Frobenius-separability equation provides a new viewpoint to Frobenius and separable algebras. | ||
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aAssociative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11027 |
700 | 1 |
_aMilitaru, Gigel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aZhu, Shenglin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662170236 |
776 | 0 | 8 |
_iPrinted edition: _z9783540437826 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1787 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b83849 |
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912 | _aZDB-2-BAE | ||
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