In this paper we show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

An Artin algebra Λ is said to be of finite Cohen–Macaulay type if, up to isomorphism, there
are only finitely many indecomposable modules in G (Λ), the full subcategory of modΛ …

Let $\Lambda $ be an Artin algebra and ${\mathsf {mod}}\mbox {-}({\underline {\mathsf
{Gprj}}}\mbox {-}\Lambda) $ the category of finitely presented functors over the stable …

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Let $\text {Gprj}\mbox {-}\Lambda $ denote the category of Gorenstein projective modules
over an Artin algebra $\Lambda $ and the category $\text {mod}\mbox {-}(\underline {\text …

Auslander-Reiten duality for module categories is generalized to some sufficiently nice
subcategories. In particular, our consideration works for $\mathcal {P}^{<\infty}(\Lambda) …

Cohen-Macaulay Auslander algebras are the endomorphism algebras of representation
generators of the subcategory of Gorenstein projective modules over CM-finite algebras. In …

A sufficient condition for the existence of recollements of functor categories is provided.
Using this criterion, we show that a recollement of rings induces a recollement of their path …