Browsing Artykuły (WMI) by Subject "Auslander-Reiten quiver"

Repository of Nicolaus Copernicus University

Browsing Artykuły (WMI) by Subject "Auslander-Reiten quiver"

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  • Malicki, Piotr; Jaworska, Alicja; Skowroński, Andrzej (American Mathematical Society, 2012)
    We provide su cient conditions for a component of the Auslander- Reiten quiver of an artin algebra to be determined by the composition factors of its indecomposable modules
  • Malicki, Piotr; Jaworska, Alicja; Skowroński, Andrzej (2013-01-24)
    We give a complete description of nitely generated modules over artin alge- bras which are not the middle of a short chain of modules, using injective and tilting modules over hereditary artin algebras.
  • Chaio, Claudia; Malicki, Piotr (World Scientific Publishing Company, 2017)
    We study the composition of irreducible morphisms between indecomposable modules lying in quasi-tubes of the Auslander-Reiten quivers of artin algebras in relation with the powers of the radical of their module category.
  • Malicki, Piotr; Pena, Jose Antonio; Skowroński, Andrzej (2013-11-25)
    We solve a long standing open problem concerning the structure of finite cycles in the category $\mo A$ of finitely generated modules over an arbitrary artin algebra $A$, that is, the chains of homomorphisms $M_0 \buildrel ...
  • Malicki, Piotr; Jaworska, Alicja; Skowroński, Andrzej (The London Mathematical Society, 2012)
    We describe the structure of semi-regular Auslander-Reiten components of artin algebras without external short paths in the module category. As an application we give a complete description of self-injective artin ...
  • Malicki, Piotr; Skowroński, Andrzej; Pena, Jose Antonio (Versita, 2014)
    We prove that the number of terms in the middle of an almost split sequence in the module category of a cycle-finite artin algebra is bounded by 5.
  • Malicki, Piotr; Skowroński, Andrzej (2018-02-08)
    We describe the structure and homological properties of arbitrary generalized standard Auslander-Reiten components of artin algebras. In particular, we prove that for all but finitely many indecomposable modules in such ...
  • Malicki, Piotr; Skowroński, Andrzej; Jaworska, Alicja (Springer, 2013)
    We provide an affirmative answer for the question raised almost twenty years ago in [22] concerning the characterization of tilted artin algebras by the existence of a sincere finitely generated module which is not the ...

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