Abstract
We give another proof of the recent result of Ringel, which asserts equality between the finitistic dimension and delooping level of Nakayama algebras. The main tool is the syzygy filtration method introduced in our earlier work.
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References
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Acknowledgements
We are deeply thankful to Prof. Ringel for devoting Appendices B and C in his work to our \({\varvec{\varepsilon }}\)-construction and elucidating its difference from the other methods as well as to Prof. Igusa and Prof. Todorov for encouraging us to post this paper. We also thank the referee for suggestions to improve the text.
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Sen, E. Delooping level of Nakayama algebras. Arch. Math. 117, 141–146 (2021). https://doi.org/10.1007/s00013-021-01622-z
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DOI: https://doi.org/10.1007/s00013-021-01622-z