Radical embeddings and representation dimension
Radical embeddings and representation dimension
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DOI：
10.1016/s0001-8708(03)00169-5
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发表时间：
2002-10
影响因子：
1.7
通讯作者：
K. Erdmann;T. Holm;O. Iyama;J. Schroer
中科院分区：
文献类型：
--
作者：
K. Erdmann;T. Holm;O. Iyama;J. Schroer
给定表示有限代数B和B的子代数A，使得A和B的Jacobson根重合，证明了A的表示维数至多为3.根据Igusa和Todorov的结果，这意味着A的有限维数是有限的。
Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals of A and B coincide, we prove that the representation dimension of A is at most three. By a result of Igusa and Todorov, this implies that the finitistic dimension of A is finite.