Upper bounds for the dominant dimension of Nakayama and related algebras

2016/05/31 by Marczinzik, Rene · 1 citation
#16E10 #16G10 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1605.09634

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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• Virtually Gorenstein algebras of infinite dominant dimension

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