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arXiv · 1704.00612

On the representation dimension and finitistic dimension of special multiserial algebras

Sibylle Schroll
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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.

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BibTeXRIS

Sibylle Schroll. 2017-11-09. On the representation dimension and finitistic dimension of special multiserial algebras. https://arxiv.org/abs/1704.00612

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