On modules with reducible complexity
arXiv:1812.10597 · doi:10.1007/s10468-019-09899-z
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.
8 pages