… When we specialise to module categories or derived … is said to be contravariantly finite or
precovering. If every object in D … a right adjoint and the inclusion Y → D has a left adjoint; these …

… complex of projective R-modules) associated to a Gorenstein … called a special Y-preenvelope.
A cotorsion pair C is called … a special X-precover and a special Y-preenvelope. Standard …

… n-cotilting modules for \(n>1\), we will use the term cotilting module to refer to a 1-cotilting …
Because the right adjoint of an exact functor preserves injective objects, we may regard \(\textrm…

… finite-dimensional A-module M such that every other finite-dimensional A-module is a direct
… admissible subcategories, that is subcategories such that the inclusion admits a left adjoint. …

… module, we mean a right R-module where R is an associative unital ring. We denote the class
of all modules … The map p is called a special\(\mathcal {A}\)-precover of M while i is called …

… C, the functor ex admits a left adjoint fx and a right adjoint gx. … 3.12] that Z is special precovering
in X if any X ∈ X admits an … The notions of Z-preenvelope, special Z-preenvelope and …

… C, the functor ex admits a left adjoint fx and a right adjoint gx. … 3.12] that Z is special precovering
in X if any X ∈ X admits an … The notions of Z-preenvelope, special Z-preenvelope and …

… category and the stable category of Gorenstein projective modules of a Gorenstein ring [Citation7]. …
Recall that a morphism f : A → X in A is called an X -preenvelope (also called a left X -…

… of module categories, many examples arise as categories of Gorenstein projective modules
[7… If an exact category \(\mathscr {A}\) has almost split sequences, there is an adjoint pair of L-…

… modules inside the homotopy category of flat modules … {T}\) have a right, respectively left
adjoint which are defined by the … , even if we construct the preenvelope in a fixed manner as …