Abstract
Let R be an artin algebra. The Auslander–Reiten formula for the category (mod-R)-mod of finitely presented functors is presented, which is extended from the Auslander–Reiten formula for the category mod-R of finitely presented modules.
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Acknowledgements
This work was supported by National Natural Science Foundation of China (No. 11761060). The authors would like to thank the referees for their careful reading, valuable comments, numerous suggestions and corrections which resulted in a significant improvement of the paper.
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Communicated by Shiping Liu.
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Guo, S., Yang, X. The Auslander–Reiten Formula on Finitely Presented Functor Categories. Bull. Malays. Math. Sci. Soc. 44, 1787–1798 (2021). https://doi.org/10.1007/s40840-020-01030-6
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DOI: https://doi.org/10.1007/s40840-020-01030-6