On the representation dimension and finitistic dimension of special multiserial algebras
Representation Theory
2017-11-10 v3
Abstract
For monomial special multiserial algebras, which in general are of wild representation type, we construct radical embeddings into algebras of finite representation type. As a consequence, we show that the representation dimension of monomial and self-injective special multiserial algebras is less or equal to three. This implies that the finitistic dimension conjecture holds for all special multiserial algebras.
Keywords
Cite
@article{arxiv.1704.00612,
title = {On the representation dimension and finitistic dimension of special multiserial algebras},
author = {Sibylle Schroll},
journal= {arXiv preprint arXiv:1704.00612},
year = {2017}
}
Comments
6 pages, new result on the finiteness of the finitistic dimension of special multiserial algebras included