Free dendriform algebras. Part I. A parenthesis setting
We propose both a reformulation of some known results on the free dendriform algebra on one generator from a parenthesis setting instead of using permutations and some developments as well. Moreover, by introducing the concept of NCP-operad, we show how to use the free dendriform algebra on one gene...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/34684 |
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| _version_ | 1832563549242654720 |
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| author | Philippe Leroux |
| author_facet | Philippe Leroux |
| author_sort | Philippe Leroux |
| collection | DOAJ |
| description | We propose both a reformulation of some known results on the free dendriform algebra on one generator from a parenthesis setting instead of using permutations and some developments as well. Moreover, by introducing the concept of NCP-operad, we show how to use the free dendriform algebra on one generator to reformulate some results obtained by Speicher in free probability. |
| format | Article |
| id | doaj-art-2d86448dee42486d897fa6ed94a72505 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2d86448dee42486d897fa6ed94a725052025-02-03T01:13:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/3468434684Free dendriform algebras. Part I. A parenthesis settingPhilippe Leroux0Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Jahnstraße 15a, Greifswald 17487, GermanyWe propose both a reformulation of some known results on the free dendriform algebra on one generator from a parenthesis setting instead of using permutations and some developments as well. Moreover, by introducing the concept of NCP-operad, we show how to use the free dendriform algebra on one generator to reformulate some results obtained by Speicher in free probability.http://dx.doi.org/10.1155/IJMMS/2006/34684 |
| spellingShingle | Philippe Leroux Free dendriform algebras. Part I. A parenthesis setting International Journal of Mathematics and Mathematical Sciences |
| title | Free dendriform algebras. Part I. A parenthesis setting |
| title_full | Free dendriform algebras. Part I. A parenthesis setting |
| title_fullStr | Free dendriform algebras. Part I. A parenthesis setting |
| title_full_unstemmed | Free dendriform algebras. Part I. A parenthesis setting |
| title_short | Free dendriform algebras. Part I. A parenthesis setting |
| title_sort | free dendriform algebras part i a parenthesis setting |
| url | http://dx.doi.org/10.1155/IJMMS/2006/34684 |
| work_keys_str_mv | AT philippeleroux freedendriformalgebraspartiaparenthesissetting |