… All rings considered in this paper have a non zero identity and all modules are unital. If R
is a ring we denote by R-Mod (Mod-R) the category of all left (right) R-…

… For example, it is well known that any finitely generated module over~ a Noetherian ring is
pseudo-Noetherian. However, a finitely presented module over a coherent ring need not be …

… the ring S is right R-projective. As the dual of n-coherent rings [C], we introduce n-cocoherent
rings in … If S r R is an almost excellent extension we prove that (1) a right S-module MS is n-…

… We recall that one classically defines a ring R to be left hereditary if and only if the left R-module
R is hereditary, that is, if and only if R(1, -) is hereditary. We generalize to the several …

… A ring R is called a coherent ring if it is a coherent module … R/I module M is R/I coherent iff
it is R coherent. In particular, for a ring R and an ideal I of R, we have: (1) If R is a coherent ring …

… 7-coherent rings are the modules whose character module is … of left IF rings (rings such that
every left injective module is flat… ring with identity and R-mod the category of left R-modules. If …

… rings. Since in the first three sections we are investigating a local situation, all rings there are
… We denote by A-mod the category of finitely generated A-modules and by D(A) the derived …

… modules. Our approach depends to a large extent on the embedding of a module category
into a bigger functor category. … We prove them for dualizing rings, that is, a class of rings which …

… a module over an associative ring R and cr[M ] the category … we do not demand a tilting
module to be finitely generated (… /Z is a tilting module in the category of torsion Z-modules (= cr[…