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Wydział Matematyki i Informatyki / Faculty of Mathematics and Computer Science Przeglądanie wg autora "Pena, Jose Antonio"

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Wydział Matematyki i Informatyki / Faculty of Mathematics and Computer Science Przeglądanie wg autora "Pena, Jose Antonio"

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  • 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 ...
  • 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.