Representation dimension of extensions of hereditary algebras |
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Authors: | Manuel Saorín |
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Institution: | Departamento de Matemáticas, Universidad de Murcia, Aptdo. 4021, 30100 Espinardo, Murcia, Spain |
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Abstract: | We show that if H is a hereditary finite dimensional algebra, M is a finitely generated H-module and B is a semisimple subalgebra of EndH(M)op, then the representation dimension of is less than or equal to 3 whenever one of the following conditions holds: (i) H is of finite representation type; (ii) H is tame and M is a direct sum of regular and preprojective modules; (iii) M has no self-extensions. |
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Keywords: | 16G10 16G60 16E65 |
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