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Representation dimension of m-replicated algebras |
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| Authors: | HongBo Lü ShunHua Zhang |
| Institution: | 1. School of Mathematics, Shandong University, Jinan, 250100, China |
| Abstract: | Let A be a finite-dimensional hereditary algebra over an algebraically closed field and A (m) be the m-replicated algebra of A. We prove that the representation dimension of A (m) is at most 3, and that the dominant dimension of A (m) is at least m. |
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