The purpose of this chapter is to define the functor SR[M] : A → SR[M,A] used to determine the image of pushouts of R-algebras under the functor SR(M) : A → S(M,A) associated to a right module over an operad. The explicit construction of the functor SR[M] : A → SR[M,A] is carried out in §18.1. The categorical features of the construction are studied in §18.2. In this chapter we address only categorical constructions and we do not use any model structure.
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© 2009 Springer-Verlag Berlin Heidelberg
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Fresse, B. (2009). Shifted modules over operads and functors. 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_18
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DOI: https://doi.org/10.1007/978-3-540-89056-0_18
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