Upper bounds for the dominant dimension of Nakayama and related algebras

Optimal upper bounds are provided for the dominant dimensions of Nakayama algebras and more general 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.