Let and be two corings over a ring A and be a morphism of corings. We investigate the
situation when the associated induced (“corestriction of scalars”) functor ℳ→ ℳ is a …

In this article, FP-injective complexes are introduced and studied. We prove that (⊥ ℱℐ, ℱℐ)
is a hereditary cotorsion theory if and only if R is a left coherent ring, where ℱℐ denotes the …

Let A and B be associative rings with unit, Mod-A and Mod-B categories of unital right A-
modules and unital right B-modules respectively. For an AB-bimodule* UB, we consider two …

Let R be a ring. A right R-module A is said to be C-flat if the kernel of any epimorphism B→ A
is C-pure in B, ie the induced map Hom (C, B)→ Hom (C, A) is surjective for any cyclic right …

Rg be a G-graded ring. It is well known (see eg [D],[M1],[N],[NRV],[NV]) that in the study of
the connections that may be established between the categories R-gr of graded R-modules …

Let k be a field. We show that locally presentable, k-linear categories CC dualizable in the
sense that the identity functor can be recovered as ∐ _i x_i ⊗ f_i∐ ixi⊗ fi for objects x_i ∈ C …

In this article, we present $ GPW $-flatness property of acts over monoids, which is a
generalization of principal weak flatness. We say that a right $ S $-act $ A_ {S} $ is $ GPW …

Let Mod-S denote the category of S-modules, where S is a small pre-additive category.
Using the notion of relative derived categories of functor categories, we generalize Rickard's …

For a category, we investigate the problem of when the coproduct⊕ and the product
functor∏ from I to are isomorphic for a fixed set I, or, equivalently, when the two functors …

Let C be an extriangulated category and X be a semibrick in C. Let T be the filtration
subcategory generated by X. We introduce the weak Jordan-Hölder property (WJHP) and …