On the representation dimension and finitistic dimension of special multiserial algebras

Schroll, Sibylle

doi:10.1090/proc/14230

On the representation dimension and finitistic dimension of special multiserial algebras
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Proc. Amer. Math. Soc. 147 (2019), 2275-2280 Request permission

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 than or equal to three. This implies that the finitistic dimension conjecture holds for all special multiserial algebras.

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