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On the representation dimension and finitistic dimension of special multiserial algebras (1704.00612v3)
Published 3 Apr 2017 in math.RT
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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