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arXiv · 1812.10597

On modules with reducible complexity

Olgur Celikbas·Arash Sadeghi·Naoki Taniguchi
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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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Olgur Celikbas, Arash Sadeghi, Naoki Taniguchi. 2018-12-27. On modules with reducible complexity. https://doi.org/10.1007/s10468-019-09899-z

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