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We know that the model theory of modules leads to a way of obtaining definable categories
of modules over a ring R as the kernels of certain functors (RM od) op→ A b rather than of …

Using a relative version of Auslander's formula, we give a functorial approach to show that
the bounded derived category of every Artin algebra admits a categorical resolution. This, in …

Using the Morita-type embedding, we show that any exact category with enough projectives
has a realization as a (pre) resolving subcategory of a module category. When the exact …

Let A be an artin algebra and e be an idempotent ideal of A. Then there is a recollement of
modA relative to modA {AeA and modeAe. In this paper, we study some properties of Lat …

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

Let modA be the category of finitely generated right A-modules over an artin algebra⋀, and F
be an additive subfunctor of. Let P (F) denote the full sucategory of A with objects the F …

Abstract Recently, Wang, Wei and Zhang introduced the notion of recollements of
extriangulated categories. In this paper, let (A, B, C) be a recollement of extriangulated …

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 …

Given a selfinjective artin algebra Λ, we consider the category S inj (Λ) of all embeddings of
a left Λ-module in a finitely generated injective left Λ-module. We show that S inj (Λ) is a …