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Upper bounds for the dominant dimension of Nakayama and related algebras (1605.09634v3)

Published 31 May 2016 in math.RT

Abstract: Optimal upper bounds are provided for the dominant dimensions of Nakayama algebras and more generally algebras $A$ with an idempotent $e$ such that there is a minimal faithful injective-projective module $eA$ and such that $eAe$ is a Nakayama algebra. This answers a question of Abrar and proves a conjecture of Yamagata for monomial algebras.

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