… finitely generated projective R-modules (or the abelian category of finitely presentable modules
over a coherent ring … whose objects are all the morphisms f satisfying the equation \(\dim …

… ie if every finitely generated homogeneous right ideal is finitely … Hence, the injective envelope
of M also has highest degree h… simply say that a module satisfying the description above is …

… the stable category of finitely generated modules over a self-… –Macaulay representations
of Gorenstein singularities and … We regard the Laurent polynomial ring \(\Lambda [t^{\pm 1}]\) …

… sums and pure-injective envelopes, the statement follows from … prove that cotilting modules
over artinian rings are determined … module C is a cosilting module if and only if C satisfies the …

… modules over a ring, when we close this category of finitely … locally coherent Grothendieck
‘envelope’ via two further Yoneda … is every finitely generated subobject of fp(C) is also in fp(C), …

… the category of free modules over a ring, the category of … Let A be a connective proper
Gorenstein dg algebra. A dg A-… A has contractible pre-covers and contractible pre-envelopes. …

… 3Here 𝑅 is always a Gorenstein ring dependent on details of … finitely generated over 𝑅 if and
only if 𝑀0 is finitely generated … ring and 𝑀 an 𝐴-module, let E𝐴(𝑀) be the injective envelope …

… rings have been revealed via categorification. Using subcategories of the module categories
of preprojective … Moreover, ˆN is a minimal lift if and only if ι is an injective envelope. (3) If η ˆ …

… finitely generated modules which coincides with the class of … module of R, then R Ω is a
Gorenstein ring and we have a … to give the precise structure of a module’s injective envelope. …

… then, choosing I as an injective envelope of the semisimple \(k/\!{{\… if A is a Gorenstein algebra
which is finite dimensional over a … finitely generated projective to finitely generated injective …