Capitulo de libro
TRIDENDRIFORM ALGEBRAS SPANNED BY PARTITIONS
OPERADS AND UNIVERSAL ALGEBRA : PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON OPERADS, TANJIN, CHINA 5-9 JULY 2010
Registro en:
1100380
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Autor
Jimenez Briones, Daniel Alberto
Ronco, Maria Ofelia
Institución
Resumen
We define a tridendriform bialgebra structure on the vector space spanned by non-empty ordered partitions of finite sets. This construction, in term of partitions instead of maps between finite sets, permits us to define a Rota-Baxter structure on the vector space spanned by all ordered partitions of finite sets, whose associated tridendriform structure, restricted to non-empty partitions, coincides with the first one. The tridendriform structure on all ordered partitions induces a tridendriform structure on the space spanned by all maps f : {1, … n} ? ?, for all n ? 1. FONDECYT 299 FONDECYT