… simple modules. It is well known that R also has exactly r non-isomorphic indecomposable
projective modules and exactly r non-isomorphic indecomposable injective modules. …

… Auslander proved that for Artin algebras thcrc is a one-to-one correspondence … this result
the condition on R and A to bc Artin algebras is unnecessary, and have given a generalization …

… zero Artin algebras such that every indecomposable module is … denote a radical squared
zero Artin algebra and r its radical. It … correspond to projective modules and injective modules …

… since equivalence preserves the lattice of submodules and projective modules [1, pp. 257-258].
So F(P) has a unique composition series with nonisomorphic composition factors. …

… A be an artin algebra and let V be a subcategory containing the projective modules, which is
… respecti vely, containing the indecomposable projective modules. Let us assume is open to …

… of finitely generated modules over an artin algebra. It is … direct sum of a semisimple module
and a projective module. … nonisomorphic indecomposable projective modules that we …

… Wedderburn-Artin theorem is a … projective module is isomorphic to a direct sum of right
ideals. We also prove Albrecht's theorem: over a right semihereditary ring, a projective module is …

… projective module is pure projective, … artin algebras it characterizes precisely the algebras
of finite representation type (thm. 1, cor. 2). So infinite representation type for an artin algebra …

… Let A be an artin algebra. A is called weakly stably hereditary if every indecomposable
submodule of a projective module is either projective or simple, see [19, Lemma 4.8]. A is called a …

… An Artin algebra is called an Auslander algebra if its global dimension is at most 2 and …
or the property that the category of Gorenstein projective modules is abelian (see [11] and […