We study a functorial construction from the category of monoids to the category of set-operads and we give some combinatorial examples of applications.
Nous étudions une construction fonctorielle de la catégorie des monoïdes vers la catégorie des opérades ensemblistes et donnons des exemples combinatoires dʼapplications.
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DOI:
10.1016/j.crma.2012.06.002
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Author's affiliations:
Giraudo, Samuele 1
@article{CRMATH_2012__350_11-12_549_0, author = {Giraudo, Samuele}, title = {Construction d'op\'erades ensemblistes \`a partir de mono{\"\i}des}, journal = {Comptes Rendus. Math\'ematique}, pages = {549--552}, publisher = {Elsevier}, volume = {350}, number = {11-12}, year = {2012}, doi = {10.1016/j.crma.2012.06.002}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.06.002/} }
TY - JOUR AU - Giraudo, Samuele TI - Construction dʼopérades ensemblistes à partir de monoïdes JO - Comptes Rendus. Mathématique PY - 2012 SP - 549 EP - 552 VL - 350 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.06.002/ DO - 10.1016/j.crma.2012.06.002 LA - fr ID - CRMATH_2012__350_11-12_549_0 ER -
%0 Journal Article %A Giraudo, Samuele %T Construction dʼopérades ensemblistes à partir de monoïdes %J Comptes Rendus. Mathématique %D 2012 %P 549-552 %V 350 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.06.002/ %R 10.1016/j.crma.2012.06.002 %G fr %F CRMATH_2012__350_11-12_549_0
Giraudo, Samuele. Construction dʼopérades ensemblistes à partir de monoïdes. Comptes Rendus. Mathématique, Volume 350 (2012) no. 11-12, pp. 549-552. doi : 10.1016/j.crma.2012.06.002. http://archive.numdam.org/articles/10.1016/j.crma.2012.06.002/
[1] Axiomatic homotopy theory for operads, Comment. Math. Helv., Volume 78 (2003) no. 4, pp. 805-831
[2] Analytic Combinatorics, Cambridge University Press, 2009
[3] Dialgebras, Lecture Notes in Math., vol. 1763, 2001, pp. 7-66
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