… It is well known that R is a coherent ring if and only if the category of coherent modules (1-Coh(R))
coincides with the category of finitely presented modules (FP1(R)). The Proposition …

… a characterization of coherent rings in terms of strongly FP-injective modules is … coherent
rings, we mainly study some properties of strongly FP-injective modules and injective modules, …

… coherent modules that was introduced in “Almost Ring Theory” [GR03] by Gabber and
Ramero. Then we globalize it by developing a new theory of almost coherent … to usual coherent …

… over a noetherian ring k. Typically, D is not noetherian. We show that D is a Gröbner-coherent
ring. As a consequence, if one can compute with finitely generated k-modules then one …

… rings will denote right co-coherent rings in order to facilitate. In [12], right V -rings, right co-semihereditary
rings … projective modules, cosemihereditary rings and V -rings to (n, d)projective …

… and probabilistic coherence … module theory, making the linear algebraic aspect of the
above models more explicit. Specifically we consider modules over Σ-semirings R, which are ring…

… 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 …

… and it makes sense to take the support of a module on the right- hand side on the scheme
b, by defining the support to be the support of the cohomology over the classical ring SymC b∗…

… category H(Y) as a categorification of the ring of differential operators on Y. Likewise, QCoh(Y)
corresponds to the left D-module … categories of quasicoherent sheaves and D-modules (…

… For a ring R, we write R-Mod for the category of left R-modules. RM (resp., MR) denotes a
left (resp., right) R-module. Sometimes, (A, B) means HomR(A, B) for the convenience of …