Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …

Let A be an artin algebra over a commutative artin ring R, mod A be the category of finitely
generated right A-modules, and rad∞(modA) be the infinite power of the Jacobson radical …

Algebras with separating Auslander-Reiten components Page 265 Algebras with separating
Auslander-Reiten components Piotr Malicki and Andrzej Skowroński* Dedicated to Idun Reiten …

We solve a long standing open problem concerning the structure of finite cycles in the
category mod A of finitely generated modules over an arbitrary artin algebra A, that is, the …

We provide an affirmative answer for the question raised almost 20 years ago in Reiten et
al.(Proc. Am. Math. Soc. 117: 343–354, 1993) concerning the characterization of tilted artin …

We prove that an artin algebra is of finite representation type if and only if almost all finitely
generated indecomposable-modules are cycle-finite. Moreover, we prove that every cycle …

We describe the structure of stable tubes in the Auslander–Reiten quivers of tame algebras
formed by indecomposable modules which do not lie on infinite short cycles. In particular …

Let $ A $ be a quasi–hereditary algebra, and ${\mathcal {F}}(\Delta) $ the $\Delta $–good
module category consisting of $ A $–modules which have a filtration by standard modules …

Selfinjective algebras without short cycles of indecomposable modules - ScienceDirect Skip
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Let A be a representation finite algebra over finite field k such that the indecomposable A-
modules are determined by their dimension vectors and for each M,L∈ind(A) and …