Mathematics – Representation Theory
Scientific paper
2008-10-29
Mathematics
Representation Theory
13 pages
Scientific paper
Let $A$ be a finite dimensional hereditary algebra over an algebraically
closed field and $A^{(m)}$ the $m$-replicated algebra of $A$. We prove that the
representation dimension of $A^{(m)}$ is at most three, and that the dominant
dimension of $A^{(m)}$ is at least $m$.
Lv Hongbo
Zhang Shunhua
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