Liouville Extensions of Artinian Simple Module Algebras
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説明
In a previous article (Amano and Masuoka, 2005), the author and Masuoka developed a Picard–Vessiot theory for module algebras over a cocommutative pointed smooth Hopf algebra D. By using the notion of Artinian simple (AS)D-module algebras, it generalizes and unifies the standard Picard–Vessiot theories for linear differential and difference equations. The purpose of this article is to define the notion of Liouville extensions of AS D-module algebras and to characterize the corresponding Picard–Vessiot group schemes.
収録刊行物
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- Communications in algebra
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Communications in algebra 34 (5), 1811-1823, 2006-06
Taylor & Francis Group
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詳細情報 詳細情報について
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- CRID
- 1050282677594113152
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- NII書誌ID
- AA00611371
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- ISSN
- 15324125
- 00927872
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- HANDLE
- 2241/104410
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB
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- KAKEN
- OpenAIRE