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On modules with reducible complexity

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.

preprint2018arXivOpen access
Olgur CelikbasArash SadeghiNaoki Taniguchi
math.AC
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Olgur CelikbasArash SadeghiNaoki Taniguchi

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