Given a good $ n $-tilting module $ T $ over a ring $ A $, let $ B $ be the endomorphism ring
of $ T $, it is an open question whether the kernel of the left-derived functor $ T\otimes^ L_B …

We show that categories of modules over a ring in homotopy type theory (HoTT) satisfy the
internal versions of the AB axioms from homological algebra. The main subtlety lies in …

We prove that, if GProj is the class of all Gorenstein projective modules over a ring R, then
GP=(GProj, GProj⊥) is a cotorsion pair. Moreover, GP is complete when all projective …

For any ring R we construct two triangulated categories, each admitting a functor from R-
modules that sends projective and injective modules to 0. When R is a quasi-Frobenius or …

We consider the smallest triangulated subcategory of the unbounded derived module
category of a ring that contains the injective modules and is closed under set indexed …

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 R be an associative ring with identity. A right R-module M is called cotorsion if Ext"(F,
M)= 0 for every flat right R-module F. These modules were introduced by Harrison [21] in the …

We introduce and discuss the notion of a naturally full functor. The definition is similar to the
definition of a separable functor; a naturally full functor is a functorial version of a full functor …

Full article: Pure-direct-objects in categories: transfer via functors Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

From certain triangle functors, called nonnegative functors, between the bounded derived
categories of abelian categories with enough projective objects, we introduce their stable …