… Auslander-Reiten translation In Chapter 3 we have seen how the Auslander-Reiten translations
… Using this, we develop a formula to compute the Auslander-Reiten translate τS(f) of an …

Let 0—X→ Y→ Z–0 be an almost split sequence in the category of R-modules and suppose
Z is finitely presented. A modeltheoretic characterization of X in terms of Z is given, as well …

… A/ has Auslander– Reiten sequences. Surprisingly, the Auslander–Reiten translation S of
S2.… A/ ([15, Theorem 5.1]), where is the Auslander–Reiten translation of A-mod. Applying this to …

… admits a distinguished automorphism, the Auslander–Reiten translation, which in this context
… The first aim of this article is to show that the Auslander–Reiten translation can be realized …

… a finite kmodulated translation quiver is an Auslander-Reiten quiver depends only on the …
if it is an Auslander-Reiten quiver over some field then it is an Auslander-Reiten quiver for all …

… For the completeness of the material we have so far discussed, we include the following
remarks concerning the inverse of the Auslander–Reiten translation. Note first that the …

… Our purpose is to relate the Auslander-Reiten translation to the Coxeter-functor, a forerunner
which … context and remains there a handy substitute #or the Auslander-Reiten translation. …

… We consider the Auslander–Reiten translate, Nt, on the (derived) category of such
modules. A monomial ideal I is t-determined if each generator xa has a ⩽ t. We compute the …

… Abstract: We describe explicitly the Auslander–Reiten translation in the category of bounded
… Auslander–Reiten translation C and study the Auslander–Reiten theory in the category C …

… The functor τ is called Auslander-Reiten translation and plays a fundamental role in the
computation of almost split sequences. In fact, as a direct consequence of Theorem 2.4.1, we …