April 2, 2024Open Access

Higher torsion-free Auslander-Reiten sequences and the dominant dimension of algebras

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Abstract

We generalise a theorem of Tachikawa about reflexive Auslander-Reiten sequences. We apply this to give a new characterisation of the dominant dimension of gendo-symmetric algebras. We also generalise a formula due to Reiten about the dominant dimension of an algebra A and grades of torsion A-modules.

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Cruz et al. (Tue,) studied this question.

synapsesocial.com/papers/68e70d86b6db64358768682a https://doi.org/https://doi.org/10.48550/arxiv.2404.02274

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