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On Trivial Extensions of 2-Fundamental Algebras #
Authors:Alicja Jaworska
Affiliation:Faculty of Mathematics and Computer Science , Nicholaus Copernicus University , Toruń, Poland
Abstract:There are considered trivial extensions of minimal 2-fundamental algebras. It is shown that if the Auslander–Reiten quiver Γ A of a minimal 2-fundamental algebra A contains a starting component or an ending component which is not generalized standard, then the Auslander–Reiten quiver Γ T(A) of the trivial extension T(A) of A contains also a component that is not a generalized standard.
Keywords:Auslander–Reiten quiver  Minimal 2-fundamental algebra  Trivial extension
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