Details
| Original language | English |
|---|---|
| Pages (from-to) | 159-177 |
| Number of pages | 19 |
| Journal | Advances in mathematics |
| Volume | 185 |
| Issue number | 1 |
| Publication status | Published - 20 Jun 2004 |
| Externally published | Yes |
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
- Finitistic dimension conjecture, Quasi-hereditary algebras, Radical embeddings, Representation dimension, Special biserial algebras
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Advances in mathematics, Vol. 185, No. 1, 20.06.2004, p. 159-177.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Radical embeddings and representation dimension
AU - Erdmann, Karin
AU - Holm, Thorsten
AU - Iyama, Osamu
AU - Schröer, Jan
PY - 2004/6/20
Y1 - 2004/6/20
N2 - 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.
AB - 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.
KW - Finitistic dimension conjecture
KW - Quasi-hereditary algebras
KW - Radical embeddings
KW - Representation dimension
KW - Special biserial algebras
UR - http://www.scopus.com/inward/record.url?scp=2942530529&partnerID=8YFLogxK
U2 - 10.1016/S0001-8708(03)00169-5
DO - 10.1016/S0001-8708(03)00169-5
M3 - Article
AN - SCOPUS:2942530529
VL - 185
SP - 159
EP - 177
JO - Advances in mathematics
JF - Advances in mathematics
SN - 0001-8708
IS - 1
ER -