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

… Let A be an Artin algebra and , " its Auslander–Reiten quiver. Our main aim is to
characterize the components of , IT which contain only preprojective A-modules using …

… 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 …

… Also, given any artin algebra A, one should be able to classify the preprojective modules. By
… the preinjective modules are defined. By specializing our notion of preprojective modules to …

… The Auslander-Reiten quiver of a finite-… AuslanderReiten quiver is called preprojective if it
does not admit oriented cycles and each of its modules can be shifted into a projective module …

… 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 …

… (a) It is possible to give an algorithmic construction of the modules on a preprojective … If R
satisfies the separation-criterion, then T(pñn(R)g) has a preprojective component. There is an …

… , in connection with preprojective partitions and … preprojective and preinjective partitions.
The additive category generated by the indecomposable modules which are not preprojective …

… modules is called the preprojective component. The component q of Γ containing all injective
indecomposable modules is … Recall that the preprojective and preinjective components are …

… a preprojective … modules over an artin algebra A, has a preprojective partition, ie, there
is a unique collection of full subcategories {F,}l6ArUoo of ind A, the indecomposable A-modules, …