We prove that the class of Gorenstein projective modules is special precovering over any left
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …

Let R be a ring, C be a left R-module and S= End R (C). When C is semidualizing, the
Auslander class AC (S) and the Bass class ℬ C (R) associated with C have been the subject …

Gorenstein homological algebra is an important area of mathematics, with applications in
commutative and noncommutative algebra, model category theory, representation theory …

Let A be an abelian category and P (A) be the subcategory of A consisting of projective
objects. Let C be a full, additive and self-orthogonal subcategory of A with P (A) a generator …

We establish relations between Gorenstein projective precovers linked by Frobenius
functors. This is motivated by an open problem that how to find general classes of rings for …

Este documento constituye la memoria de tesis doctoral para optar al grado de Doctor en
Matemáticas. Este trabajo lo dividimos en dos bloques. En el primer bloque, Capítulos 3 y 4 …

We first introduce and study Gorenstein cophantom objects. Let C be a full and additive
subcategory of an abelian category A which is self-orthogonal and closed under …