… projective module is an important research topic in relative homological algebra, representation
theory of algebras… For a given algebra A, how to construct all the Gorenstein-projective A-…

… projective modules over some Artin algebras are inveatigatcd. The prototype is the Artin
algebra… We shall let S stand for such an algebra while Twill stand for an arbitrary Artin algebra. A …

… Before stating our next result concerning simple c-modules, it is convenient to introduce the
following notation. finitely generated indecomposable projective @nodule P we denote the …

… artin algebras A with $$\mathcal{L}_A \cup \mathcal{R}_A$$ co-finite in ind A, quasi-tilted
algebras and generalized double tilted algebras… algebras exhaust the class of all artin algebras …

… Let Λ be an artin algebra, the modules which we consider are finitely generated left Λ-modules. …
Given an indecomposable projective module P, we always will denote the inclusion map …

… modules over arbitrary artin algebras. As would be expected, the preprojective and preinjective
modules … A consisting of all the indecomposable projective modules in mod A. Then it is …

… of a projective module, or a factor module of an injective module, … artin algebra Λ with duality
functor D. Usually, we will consider left Λ-modules of finite length and call them just modules…

… algebras of wild representation type. The final section is devoted to the Krull dimension of the
category of finitely presented modules over an artin algebra. … an indecomposable projective …

… To prove this claim we fix an indecomposable non-projective module C, thus A = DTrC is
indecomposable non-injective. Therefore the simple functor SA = (; A)=rad (; A) vanishes on all …

… It is well known that (M, ) is a projective object in (mod A, Ab) for each M in mod A and that
for each F in (mod A, Ab) there is a projective presentation that consists of an exact sequence …