Abstract
In this paper we generalize a result, concerning a depth equality over local rings, proved independently by Araya and Yoshino, and Iyengar. Our result exploits complexity, a concept which was initially defined by Alperin for finitely generated modules over group algebras, introduced and studied in local algebra by Avramov, and subsequently further developed by Bergh.
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Presented by: Steffen Koenig
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Sadeghi’s research was supported by a grant from IPM. Taniguchi’s research was supported by JSPS Grant-in-Aid for Young Scientists (B) 17K14176 and Waseda University Grant for Special Research Projects 2018K-444, 2018S-202.
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Celikbas, O., Sadeghi, A. & Taniguchi, N. On Modules with Reducible Complexity. Algebr Represent Theor 23, 1467–1476 (2020). https://doi.org/10.1007/s10468-019-09899-z
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DOI: https://doi.org/10.1007/s10468-019-09899-z