On the number of terms in the middle of almost split sequences over tame algebras |
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Authors: | J A de la Peñ a M Takane |
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Institution: | Instituto de Matemáticas, UNAM Ciudad Universitaria 04510 México, D. F. México ; Instituto de Matemáticas, UNAM Ciudad Universitaria 04510 México, D. F. México |
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Abstract: | Let be a finite dimensional tame algebra over an algebraically closed field . It has been conjectured that any almost split sequence with indecomposable modules has and in case , then exactly one of the is a projective-injective module. In this work we show this conjecture in case all the are directing modules, that is, there are no cycles of non-zero, non-iso maps between indecomposable -modules. In case, and are isomorphic, we show that and give precise information on the structure of . |
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Keywords: | |
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