|
|||||
|
|
Radical embeddings and representation dimension |
|
| Authors: | Karin Erdmann Osamu Iyama |
| Institution: | a Mathematical Institute, 24-29 St. Giles, Oxford OX1 3LB, UK b Otto-von-Guericke-Universität, Institut für Algebra und Geometrie, Postfach 4120, 39016 Magdeburg, Germany c Department of Mathematics, Himeji Institute of Technology, Himeji 671-2201, Japan d Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK |
| Abstract: | 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. |
| Keywords: | 16E05 16E10 16G20 |
| 本文献已被 ScienceDirect 等数据库收录！ | |