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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/546058 |
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| _version_ | 1832550392283529216 |
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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 |
| id | doaj-art-004362cec46f40cb834f20c58c81c64b |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| 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 |