Algebras with small homological dimensions |
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Authors: | Flávio Ulhoa Coelho Marcelo Américo Lanzilotta |
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Affiliation: | Department of Information Science, Waseda University, Okubo 3-4-1,?Tokyo 169, Japan. e-mail: eric4+@andrew.cmu.edu, JP
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Abstract: | We consider the algebras Λ which satisfy the property that for each indecomposable module X, either its projective dimension pdΛ X is at most one or its injective dimension idΛ X is at most one. This clearly generalizes the so-called quasitilted algebras introduced by Happel–Reiten–Smal?. We show that some of the niciest features for this latter class of algebras can be generalized to the case we are considering, in particular the existence of a trisection in its module category. Received: 26 August 1998 |
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Keywords: | Mathematics Subject Classification (1991):16E10 18G20 16G70 |
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