In a series of papers additive subbifunctors $ F $ of the bifunctor $\operatorname {Ext} _
{\Lambda}(,) $ are studied in order to establish a relative homology theory for an artin …

Given a subbifunctor F of Ext1 (,), one can ask if one can generalize the construction of the
derived category to obtain a relative derived category, where one localizes with respect to F …

Let A be an artin algebra and modA the category of finitely generated A-modules. Unless
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …

An additive category with direct limits is said to be locally finitely presented provided that the
full subcategory of finitely presented objects is skeletally small and every object is a direct …

Linear bicategories are a generalization of ordinary bicategories in which there are two
horizontal (1-cell) compositions corresponding to the “tensor” and “par” of linear logic …

If R is an associative ring with identity, a theory of minimal flat resolutions is developed in the
category ((R-mod) op, Ab) of contravariant functors G:(R-mod) op→ Ab from the category R …

Throughout this paper we assume that all modules are finitely generated over an artin
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …

The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this
paper we introduce the category mo d adm (E) of admissibly finitely presented functors and …

The category of projective functors on a block of the category $\mathcal O (\mathfrak g) $ of
Bernstein, Gelfand and Gelfand, over a complex semisimple Lie algebra $\mathfrak g …

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 …