Upper bounds for the dominant dimension of Nakayama and related algebras

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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