… the left part and the right part of the module category modA, … modules in LA is contravariantly
finite (in the sense of Auslander and Smalø [9]) and call such algebras left supported. Right …

… with modules category over some Artin algebras. The Auslander–Reiten theory for the module
categories over … Because 𝒴 satisfies the required conditions in the first part, then we have …

… abelian category can be exactly, fully faithfully embedded into a module category as the right
… Part (a): we claim that a left R-module C belongs to the full subcategory Θ(B) ⊂ R–mod if …

… We denote by mod-A the category of finite-dimensional right modules over A. … part is the
construction of the so-called graph maps in §2.6 653 on the in®nite radical of a module category …

… in the stable category of the vector bundle category, we show that the “missing part” is …
Moreover, it is equivalent to the category of finitely generated modules on the path algebra …

… of a closed subcategory of a module category. and give a … Using these facts, we readily
obtain the if part of Proposition … Subprogenerators in a full subcategory of a module category. In …

… category and is a right exact functor commuting with direct sums, then F is isomorphic to − ⊗
R ℱ, where ℱ is a suitable R-module in , ie… of some of the ideas in the first part of their article. …

… subquivers of C: the stable part C., the left stable part C1 and the right stable part Cr (see [43…
recover C from these parts. Observe that if C is infinite then one of the semi-stable parts C, or …

… important part of Chapter 11 gives the basic properties of flat modules. … a category mod-A
of right A-modules. Dual to the idea of equivalence is that of a duality CD between categories: …

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