The goal of this chapter is to generalize the assertions of proposition 2.1.5 to right modules over an operad: Theorem 6.A. Let R be an operad in C. The category of right R-modules MR is equipped with the structure of a symmetric monoidal category over C so that the map SR : M → SR(M) defines a functor of symmetric monoidal categories over C SR : (MR,?, 1) → (F(RE, E),?, 1), functorially in E, for every symmetric monoidal category E over C.
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© 2009 Springer-Verlag Berlin Heidelberg
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Fresse, B. (2009). Tensor products. In: Modules over Operads and Functors. Lecture Notes in Mathematics(), vol 1967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89056-0_6
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DOI: https://doi.org/10.1007/978-3-540-89056-0_6
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