… yet another construction of the functor F using group rings over graded rings; in this way we
… (co-)actions, group ring constructions, blend together well in the study of the functor F and its …

… AO)[p- J if A is any graded ring. 7) As a final example consider the functor F where F(A) is the
… Consequently we conclude that if A is any graded ring and B is a separable, commutative A-…

… of graded rings cp : R + S. In Section 3 we introduce the notion of strongly separable graded
functor. This … the separability of the functors associated to a homomorphism of graded rings. …

… Chapter B deals with commutative graded rings of type Z and … domains, and secondly, local
conditions for Noetherian rings. … a functor TO : R—gr + R—gr, TU(M) = M(o) and this functor …

… graded ring R and the category of graded R-modules. We consider injective objects of this
category and we define the graded Cousin complex of a graded … simple dualizing functor and …

… functor K the graded localization functor associated to × : the localization functor in R-mod
associated to k : Goldie's multiplicative set associated to the prime ideal P : Cohen-Macaulay …

… 2.81 states that R is a strongly graded ring o the functor ( - ), is faithful o V,, = { … graded rings,
we construct in Section 1 the induced functor Ind: R,-mod --, R-gr and the coinduced functor …

… The subset of R-ker consisting of all greded kernel functors is a … ring then we nay associate
a symmetric kernel functor K … are graded kernel functors we nay take I to he a graded ideal…

… graded Morita theory. In Chapter 3 we compute Kgr0 for certain graded rings, such as graded
local rings … obvious forgetful functor from the category of T-graded rings to the category of …

… For any subset H of G and any G-graded ring 9l, we define 91H to be the twosided 9l1-… To
define the natural functor in the opposite direction, from GrMod(H\G, 9l) to GrMod(/\G, 9l), we …