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Wydział Matematyki i Informatyki / Faculty of Mathematics and Computer Science Przeglądanie wg autora "Malicki, Piotr"

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Wydział Matematyki i Informatyki / Faculty of Mathematics and Computer Science Przeglądanie wg autora "Malicki, Piotr"

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  • Auslander-reiten components determined by their composition factors 
    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
  • Classification of modules not lying on short chains 
    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.
  • COMPOSITION OF IRREDUCIBLE MORPHISMS IN QUASI-TUBES 
    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.
  • Cycle-finite module categories 
    Malicki, Piotr; Skowroński, Andrzej; Pena, Jose Antonio (2013-01-24)
    We describe the structure of module categories of finite dimensional al- gebras over an algebraically closed field for which the cycles of nonzero noniso- morphisms between indecomposable finite dimensional modules are ...
  • Finite cycles of indecomposable modules 
    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 ...
  • Krull Dimension of Tame Generalized Multicoil Algebras 
    Malicki, Piotr (Springer, 2015)
    We determine the Krull dimension of the module category of finite dimensional tame generalized multicoil algebras over an algebraically closed field, which are domestic.
  • On Auslander-Reiten components of algebras without external short paths 
    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 ...
  • On derived equivalence classification of gentle two-cycle algebras 
    Malicki, Piotr; Bobiński, Grzegorz (INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES, 2008)
    We classify, up to derived (equivalently, tilting-cotilting) equivalence all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.
  • On the number of terms in the middle of almost split sequences over cycle-finite artin algebras 
    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.
  • The structure and homological properties of generalized standard Auslander-Reiten components 
    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 ...
  • Tilted algebras and short chains of modules 
    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 ...