Let 𝒟 be either the category of R-modules or the category of chain complexes of R-modules
and ℳ a cofibrantly generated hereditary abelian model structure on 𝒟. First, we get a new …

A model structure on a category is a formal way of introducing a homotopy theory on that
category, and if the model structure is abelian and hereditary, its homotopy category is …

Let R by a right coherent ring and R-Mod denote the category of left R-modules. We show
that there is an abelian model structure on R-Mod whose cofibrant objects are precisely the …

Given a non-negative integer n and a ring R with identity, we construct a hereditary abelian
model structure on the category of left R-modules where the class of cofibrant objects …

We construct new complete cotorsion pairs in the categories of modules and chain
complexes over a Gorenstein ring $ R $, from the notions of Gorenstein homological …

In this paper, we first provide an explicit procedure to glue complete hereditary cotorsion
pairs along the recollement (A, C, B) of abelian categories with enough projective and …

Given a complete hereditary cotorsion pair-Gorenstein projective modules and study its
stability properties. As applications, we first get two model structures related to Gorenstein …

A model structure on a category is a formal way of introducing a homotopy theory on that
category, and if the model structure is abelian and hereditary, its homotopy category is …

The result of this thesis is to show that, if one has a Gorenstein ring R, that the category of left
(respectively right) R-modules has a non-trivial model structure generated by a cotorsion …

Let R be any associative ring, na positive integer and X a full subcategory of the category of
R-modules. The monomorphism category S n (X) of X consists of all the objects (X i, φ i) …