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For monomial special multiserial algebras, which in general are of wildrepresentation type, we construct radical embeddings into algebras of finiterepresentation type. As a consequence, we show that the representationdimension of monomial and self-injective special multiserial algebras is lessor equal to three. This implies that the finitistic dimension conjecture holdsfor all special multiserial algebras.

On the representation dimension and finitistic dimension of special multiserial algebras