… components of the Auslander-Reiten … preprojective components, preinjective components
and tubes are unique generalized standard semi-regular components of the Auslander-Reiten …

… Our main aim is to characterize the components of , IT which contain only preprojective A-modules
using intrinsic properties of translation quivers - 1993 Academic Press, Inc. … (b) =- (c) Let …

… A component C of Γ^ is called generalized standardif rad (X, Y)=0 for all X and Y from C. …
generalized standard components are all preprojective components, preinjective components, …

… preprojective modules and preinjective modules over an artin algebra. We now call a module
hereditarily preprojective … submodules are all preprojective or its quotient modules are all …

… using the AuslanderReiten translation. Preprojective components play an important role in
the … We present an algorithm which detects all preprojective components of a given algebra. …

… Here we show that the Auslander–Reiten component of \(\mathrm {mod}_\mathrm{{sp}}(\…
\)-module is a preprojective component. To do so, we describe an Auslander–Reiten component …

… and preinjective modules introduced … of preprojective and preinject& modules over arbitrary
artin algebras. As would be expected, the preprojective and preinjective modules described …

… indecomposable /i-module, Dtr Mi is a non-injective indecomposable /l-module; here tr is the
… Let C be a component of the Auslander-Reiten quiver, containing projectives. We recall that …

… sequences over à which begin at a A-module. Finally, in … Auslander-Reiten sequences
beginning at A-modules and how this fact can be used to compute the preprojective modules of …

… of the possible shapes of the connected components of IT,. We show that a … component
of IT, is a preprojective component, a preinjective component, the connecting component …