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Auslander-Reiten Triangles in Derived Categories of Finite-Dimensional Algebras

1991
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Proceedings of the American Mathematical Society
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Let A be a finite-dimensional algebra. The category mod A of finitely generated left /1-modules canonically embeds into the derived category D (A) of bounded complexes over triodo and the stable category mod T(A) of Z-graded modules over the trivial extension algebra of A by the minimal injective cogenerator. This embedding can be extended to a full and faithful functor from D (A) to mod T(A). Using the concept of Auslander-Reiten triangles it is shown that both categories are equivalent only

doi:10.2307/2048684
fatcat:xmow5465ybaonk7gihonvdsqra