Piotr Malicki, José A. de la Peña, Andrzej Skowroński
Published 2012-03-15Version 1
We describe the structure of module categories of finite dimensional algebras over an algebraically closed field for which the cycles of nonzero nonisomorphisms between indecomposable finite dimensional modules are finite (do not belong to the infinite Jacobson radical of the module category). Moreover, geometric and homological properties of these module categories are exhibited.
Journal: Algebras, Quivers and Representations. The Abel Symposium 2011. Abel Symposia 8, Springer-Verlag Berlin Heidelberg, 2013, 209--252
Finite dimensional algebras and cellular systems
Finite dimensional algebras not arising as blocks of group algebras
Irreducible components of varieties of representations of a class of finite dimensional algebras
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