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A new approach to the r-Whitney numbers by using combinatorial differential calculus
ArticleAbstract: In the present article we introduce two new combinatorial interpretations of the r-Whitney numbers oPalabras claves:differential operators, r-Dowling polynomial, r-Whitney numberAutores:Miguel A. Mendez, Ramírez J.L.Fuentes:scopusEquivariant representations of the symmetric groups
ArticleAbstract:Palabras claves:Autores:De Chela D., Miguel A. MendezFuentes:scopusKoszul duality for monoids and the operad of enriched rooted trees
ArticleAbstract: We introduce here the notion of Koszul duality for monoids in the monoidal category of species withPalabras claves:c-Monoids, Enriched trees, Koszul duality, Operads, speciesAutores:Miguel A. MendezFuentes:scopusQ-analogs of the generalized Stirling and Bell numbers
ArticleAbstract: Generalized Stirling numbers appear in a natural way as the coefficients of the normal ordering of aPalabras claves:Autores:Miguel A. Mendez, Rodriguez A.Fuentes:scopusRestricted r-Stirling numbers and their combinatorial applications
ArticleAbstract: We study set partitions with r distinguished elements and block sizes found in an arbitrary index sePalabras claves:Combinatorial identities, Generalized Stirling numbers, Generating functions, Set partitionsAutores:Bényi B., Miguel A. Mendez, Ramírez J.L., Wakhare T.Fuentes:scopusRigid Operads
Book PartAbstract: A rigid finite structure is one without automorphisms other than the identity. Structures constructePalabras claves:Autonomous Differential Equation, Exponential Generate Function, Linear Order, Monoidal Category, Ordinal ProductAutores:Miguel A. MendezFuentes:scopusPreliminaries on Species and Set Operads
Book PartAbstract: The formal definition of a species and its exponential generating function are given. Based on the iPalabras claves:Biggest Tourist, Finite Topological Spaces, Operad, Wear Labels, Winning Coali TionAutores:Miguel A. MendezFuentes:scopusPlethystic exponential polynomials and plethystic Stirling numbers
ArticleAbstract: In this article we introduce a plethystic generalization of the exponential polynomials and their umPalabras claves:Autores:Miguel A. MendezFuentes:scopusPosets from Cancellative Operads and Koszul Duality
Book PartAbstract: A species is said to be homogeneous concentrated in m, if for Based on previous work of Fresse [Fre0Palabras claves:Cohen-Macaulay Poset, Cooperad, Koszul duality, Linear Species, Quadratic OperadAutores:Miguel A. MendezFuentes:scopusMonops, monoids and operads: The combinatorics of Sheffer polynomials
ArticleAbstract: We introduce a new algebraic construction, monop, that combines monoids (with respect to the productPalabras claves:Autores:Lamoneda R.S., Miguel A. MendezFuentes:scopus