… For example, we will apply our framework to construct categories of modules over
symplectic … module categories over rings. They play the same role for modules over dg-categories. …

… Between logical right-left symmetry and the above duality by "*", we find that the study of the
properties of right or left modules over a ring obtained by a universal construction on right or …

… domains, it is natural to investigate this category in this setting. (Recall: a ring is coherent it
each … If (R, T) is coherent and T is finitely generated as an R -module, then every intermediate …

… R-modules over a right coherent ring R, then Hom Z(I, Q/Z) is a complex of flat R-modules. …
proofs of a couple of basic facts about right coherent rings. I do this partly to keep the paper …

… Dmodules. Our results show that D is a coherent ring in this case, and a D-module is therefore
… , and by symmetry, the results in this section also hold for right modules. We say that R is a …

… Throughout this article, R is an associative ring with identity and modules … coherent
ring if and only if the cotorsion pair ( P m , n , I m , n ) is hereditary if and only if R is left (m, n)-coherent …

… images of coherent modules under proper morphisms are coherent again… Rings) we are
considering factors through a functor from the category of quasi compact rigid R spaces to (Rings…

… coherent rings and (m, d)-coherent rings. For instance, we prove that a ring R is a left (m,
d)-coherent ring if and only if any direct product of R as a right R-module is (m, d)-flat if and only …

… Since (M, −) : add(M) → mod (Γ) is an equivalence of categories and Γ is a semi-simple ring,
we have that Im (M,f)=(M,M ) and (M,f):(M,A) → (M,B) is the composition of a split-epi (M,α) : (…

… R, Corollary 3.10 shows that every injective right R-module is torsionfree if and only if R
is a left P-coherent ring and RR is divisible if and only if every cyclically presented right R-…