… the concepts of adjoint preenvelopes and adjoint precovers of modules and some … relationships
between adjoint preenvelopes, adjoint precovers and preenvelopes and precovers were …

… dimensions using adjoint precovers and adjoint preenvelopes of modules. … left 𝒞 -adjoint
resolutions of modules which are related to 𝒞 -adjoint preenvelopes and 𝒞 -adjoint precovers. …

… Then we investigate how to construct n -tilting modules and Gorenstein modules in R ⋉ M -…
preenvelopes (respectively, precovers) in R -Mod and preenvelopes (respectively, precovers) …

… functor), and we let St : A/T → A be the fully faithful right adjoint of Qt. If A = Mod-R is the
category of right R-modules over a ring R, then we can consider the ring of quotients ψ : R → Rt …

… is devoted to preenvelopes and precovers of modules over a … of left A-modules and D be a
class of left B-modules, we prove … to see that p is a left adjoint of q and h is a right adjoint of q. …

… precovers and Gorenstein injective preenvelopes is an active subject of study nowadays, not
only in the category of modules … of modules, those of representations of quivers by modules, …

… flat modules as well as its left adjoint f∗, so f∗ preserves flat precovers by Proposition 2.10
applied to the adjoint … We observe that f∗ preserves cotorsion preenvelopes under the same …

… not only give rise to adjoint functors for constructing recollements … modules, complete
cotorsion pairs make it possible to produce special preenvelopes once we know special precovers …

… preenvelopes and precovers in the category \(_{R}{\mathcal {E}}\) of short exact sequences
of left R-modules. Let \… F is the left adjoint of the functor G. Then Theorem 2.1(1) is clear by the …

… constructed by precovers and preenvelopes, respectively. … C, we use AddR(C) to denote
the class of all R-modules which … We give in this section some transfer results under adjoint …