A generalised hopf algebra for solitons
This paper considers a generalisation of the idea of a Hopf algebra in which a commutative ring replaces the field in the unit and counit. It is motivated by an example from the inverse scattering formalism for solitons. We begin with the corresponding idea for groups, where the concept of the ident...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202020197 |
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| _version_ | 1832555465374957568 |
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| author | Falleh R. Al-Solamy Edwin J. Beggs |
| author_facet | Falleh R. Al-Solamy Edwin J. Beggs |
| author_sort | Falleh R. Al-Solamy |
| collection | DOAJ |
| description | This paper considers a generalisation of the idea of a Hopf
algebra in which a commutative ring replaces the field in the
unit and counit. It is motivated by an example from the inverse
scattering formalism for solitons. We begin with the
corresponding idea for groups, where the concept of the identity
is altered. |
| format | Article |
| id | doaj-art-58395fd51d4841f2902704e96460adef |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-58395fd51d4841f2902704e96460adef2025-02-03T05:48:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291270171810.1155/S0161171202020197A generalised hopf algebra for solitonsFalleh R. Al-Solamy0Edwin J. Beggs1Department of Mathematics, Faculty of Science, King Abdul Aziz University, P.O. Box 80015, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Wales Swansea, Wales, Swansea SA2 8PP, UKThis paper considers a generalisation of the idea of a Hopf algebra in which a commutative ring replaces the field in the unit and counit. It is motivated by an example from the inverse scattering formalism for solitons. We begin with the corresponding idea for groups, where the concept of the identity is altered.http://dx.doi.org/10.1155/S0161171202020197 |
| spellingShingle | Falleh R. Al-Solamy Edwin J. Beggs A generalised hopf algebra for solitons International Journal of Mathematics and Mathematical Sciences |
| title | A generalised hopf algebra for solitons |
| title_full | A generalised hopf algebra for solitons |
| title_fullStr | A generalised hopf algebra for solitons |
| title_full_unstemmed | A generalised hopf algebra for solitons |
| title_short | A generalised hopf algebra for solitons |
| title_sort | generalised hopf algebra for solitons |
| url | http://dx.doi.org/10.1155/S0161171202020197 |
| work_keys_str_mv | AT fallehralsolamy ageneralisedhopfalgebraforsolitons AT edwinjbeggs ageneralisedhopfalgebraforsolitons AT fallehralsolamy generalisedhopfalgebraforsolitons AT edwinjbeggs generalisedhopfalgebraforsolitons |