… of posets, and matrix classification. In this manuscript we intend to … Auslander-Reiten
type theory of submodule categories. Here is a preview: If we consider a map f : A → B of Λ-modules …

… For the sake of completeness we recall that ever~ module category mod A , where A has f~nite
dimension over k , is equivalent to some mOdk(O,R) : Let PI ..... Pr be (non-isomorphic} re…

… Meltzer [9] establish a surprising link between the stable submodule category with the
singularity … X of A-mod, and it is proved that for a cotilting A-module T , there is a cotilting Tn.A/-…

… In Section 1 we recall those facts about artin algebras and their module categories that will
be needed in the paper. In Section 2 we show that a generalized standard component admits …

… the stable category mod T(A) of Z-graded modules over the … of Auslander-Reiten triangles
it is shown that both categories … denote the category of finitely generated left ¿(-modules. Let …

… kinds of partitions of the module category can be obtained by using Auslander–Reiten … We
compare these two kinds of partitions and see how the modules are rearranged according to …

… general Auslander-Reiten theory which covers module categories and triangulated categories
… We consider the stable category Mod Λ of Λ-modules where for two modules X and Y one …

… the existence of Auslander-Reiten sequences in prin(R)g (even in two different ways!) and
we give some useful relations of the category prin(/c)g with other module categories. We start …

… For an arbitrary Grothendieck abelian category the construction of the AuslanderReiten …
category of modules over a ring, we provide an explicit description of the Auslander-Reiten …

… module category of the generalized Beilinson algebra B(n, r) on n vertices into the module
category … Jordan type property and the equal images property for modules over B(n, r). A main …