Quantum Groupoids Acting on Semiprime Algebras

Following Linchenko and Montgomery's arguments 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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Main Authors: Inês Borges, Christian Lomp
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2011/546058
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author Inês Borges
Christian Lomp
author_facet Inês Borges
Christian Lomp
author_sort Inês Borges
collection DOAJ
description Following Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.
format Article
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institution Kabale University
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language English
publishDate 2011-01-01
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series Advances in Mathematical Physics
spelling doaj-art-004362cec46f40cb834f20c58c81c64b2025-02-03T06:06:51ZengWileyAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/546058546058Quantum Groupoids Acting on Semiprime AlgebrasInês Borges0Christian Lomp1Instituto Superior De Contabilidade e Administração de Coimbra, Quinta Agrícola-Bencanta, 3040-316 Coimbra, PortugalDepartamento de Matemática, Faculdade de Ciências, Universidade do Porto, Rua Campo Alegre 687, 4169-007 Porto, PortugalFollowing Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.http://dx.doi.org/10.1155/2011/546058
spellingShingle Inês Borges
Christian Lomp
Quantum Groupoids Acting on Semiprime Algebras
Advances in Mathematical Physics
title Quantum Groupoids Acting on Semiprime Algebras
title_full Quantum Groupoids Acting on Semiprime Algebras
title_fullStr Quantum Groupoids Acting on Semiprime Algebras
title_full_unstemmed Quantum Groupoids Acting on Semiprime Algebras
title_short Quantum Groupoids Acting on Semiprime Algebras
title_sort quantum groupoids acting on semiprime algebras
url http://dx.doi.org/10.1155/2011/546058
work_keys_str_mv AT inesborges quantumgroupoidsactingonsemiprimealgebras
AT christianlomp quantumgroupoidsactingonsemiprimealgebras