… R-module, then HomR(M,N) is an (m, n)-flat right S-module. … ring S of a right R-module
M is left (m, n)-coherent. It is shown … n)-coherent ring; (b) every M-(n, m)-presented right R-module …

… been well studied for coherent rings. The aim of this project is to study completion for coherent
regular local rings and the derived functors of completion on their module categories. In …

… If, for the module RM over the ring R, we have a projective resolution P 4 M (ie, P = . . . -+ Pk
--tea -+ P, + P, -+ 0) with the extra condition that the first PO,..., P, are finitely generated, then …

… R-module M … R-module M and every a∈R if and only if each left R-module has a P-injective
cover and every DP-injective left R-module is injective if and only if R is a left P-coherent ring …

… spectra in the stable homotopy category, and we use it to give new constructions as MU-ring …
Working in the module category AR, we show that the category of finite cell modules over an …

… [4] on coherent rings that the category [X0, AB] is locally coherent, ie, has a family of coherent
… Let K be a commutative ring with unit, and Mod K the category of unital K-modules. A K-…

… A key technical point is that is a coherent ring, which we discuss in Section 2, along with
some properties of acyclic O-modules. Theorems 1 and 2 are proved in Sections 3 and 4, …

… categories from linearly compact categories of modules. In Section … coherent and linearly
compact rings R and S if the … duality theories for module categories and spectral categories ([6])…

… Throughout this paper, all rings are associative with identity and all modules are unitary.
Let R be a ring and M a right R-module. Recall that M is called cotorsion [7] if Ext1 …

… ring S of a right R-module M is a right (m, n)-coherent ring if and only if every M-(m, n)-copresented
right Rmodule … of right R-modules has a pseudokernel in add(M) (Theorem 3.1). It is …