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Showing 2010 · math.RTShow all
3 papers · 2 filters
math.RT2010★ 2 cited
Indecomposable representations of the Kronecker quivers
Claus Michael Ringel
Let k be a field and A the n-Kronecker algebra, this is the path algebra of the quiver with 2 vertices, a source and a sink, and n arrows from the source to the sink. It is well-kn…
math.RT2010★ 2 cited
Expansions of abelian categories
Xiao-Wu Chen, Henning Krause
Expansions of abelian categories are introduced. These are certain functors between abelian categories and provide a tool for induction/reduction arguments. Expansions arise natura…
math.RT2010★ 2 cited
Minimal infinite submodule-closed subcategories
Claus Michael Ringel
Let be an artin algebra. We are going to consider full subcategories of closed under finite direct sums and under submodules with infinitely many isomorphism classes of…