Radical embeddings and representation dimension
表示论
2007-05-23 v1 环与代数
摘要
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.
引用
@article{arxiv.math/0210362,
title = {Radical embeddings and representation dimension},
author = {Karin Erdmann and Thorsten Holm and Osamu Iyama and Jan Schröer},
journal= {arXiv preprint arXiv:math/0210362},
year = {2007}
}
备注
16 pages