Quantum groupoids acting on semiprime algebras. (Q666325)
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scientific article; zbMATH DE number 6012965
| Language | Label | Description | Also known as |
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| English | Quantum groupoids acting on semiprime algebras. |
scientific article; zbMATH DE number 6012965 |
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Quantum groupoids acting on semiprime algebras. (English)
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8 March 2012
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Summary: Following \textit{V. Linchenko} and \textit{S. Montgomery}'s arguments [Proc. Am. Math. Soc. 135, No. 10, 3091-3098 (2007; Zbl 1139.16027)] we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.
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finite-dimensional Hopf algebras
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smash products
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cosemisimple Hopf algebras
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semiprime PI-algebras
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semiprimeness
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