Titlebook: Set Operads in Combinatorics and Computer Science; Miguel A. Méndez Book 2015 The Author(s) 2015 Decomposition theory.Decomposition tree.K

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Miguel A. MéndezGives a detailed elementary introduction to set operads from the point of view of species, the advantages of this approach are explained in the abstract.Settles decomposition theory in to the area of

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Rigid Operads,atural context for the definition of rigid operads is the species on linear orders or L-species. In the context of .-species there are two different substitution operations; ordinal and shuffle. These operations lead to two kinds of operads, respectively non-symmetric and shuffle.

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SpringerBriefs in Mathematicshttp://image.papertrans.cn/s/image/865764.jpg

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https://doi.org/10.1007/978-3-319-11713-3Decomposition theory; Decomposition tree; Koszul operads; Modular decomposition; Set operads; Simple mult

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Book 2015f combinatorial species and its operations. This approach has various advantages: one of them is that the definition of combinatorial operations on species, product, sum, substitution and derivative, are simple and natural. They were designed as the set theoretical counterparts of the homonym operat

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2191-8198 the abstract.Settles decomposition theory in to the area of This monograph has two main objectives. The first one is to give a self-contained exposition of the relevant facts about set operads, in the context of combinatorial species and its operations. This approach has various advantages: one of t

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Decomposition Theory,itive, each of its structures has a unique factorization into prime factors. We then introduce the amalgam operation, based upon which we can construct operads where a unique factorization is still valid, but whose amalgam factors are not weakly partitive, thus widening the spectrum of possibilities of unique factorizable structures.