… In this paper, we consider abelian functor calculus, the calculus of functors of abelian … We
carefully construct a category of abelian categories and suitably homotopically defined functors…

… abelian functor calculus, the calculus of functors of abelian categories established by Brenda
Johnson and Randy McCarthy (see [4]). Functor calculus … in undergraduate calculus. This …

… Synthesizing results from [BJO+18] and methods in [Yea19], we will show that the
derivatives of certain functors (including the identity functor) in abelian calculus form a …

… calculi over Hopf algebras in a braided abelian category… functor categories, we have to
provide another two functors. For any k-linear abelian monoidal category C (with k-bilinear functor …

… Finally we sketch a proof of Mitchell’s full embedding theorem [25]: each small abelian … an
abelian category following Verdier [33] and the total right derived functor of an additive functor …

… A\A' one obtains new functors of one module variable A, … functors, obtained by a particular
choice of the non-Abelian … our general theory, and the commutator calculus in the (free) group, …

… of constructing the fundamental functors of differential calculus on a commutative algebra in
… Let Κ be a commutative ring with identity and G an Abelian group. We consider the category …

… calculus for functors of a single variable and for ordinary natural transformations. The purpose
of this paper is to give such a calculus in the simplest case, when the functors … for abelian …

… we exhibit a functor r from lattice ordered abelian groups with … group is a partially ordered
abelian group G which is directed (G… By a morphism in the category of partially ordered abelian …

… not live comfortably in a natural setting for a calculus of derived functors: the source category
for the functors between which natural transformations are taken changes from degree to …