Cycle-finite module categories
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Abstract
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 (do not
belong to the infinite Jacobson radical of the module category). Moreover, geometric
and homological properties of these module categories are exhibited.
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Keywords
cycle-finite algebra, generalized multicoil algebra, generalized double tilted algebra