On modules with reducible complexity
Commutative Algebra
2020-08-11 v1
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.
Keywords
Cite
@article{arxiv.1812.10597,
title = {On modules with reducible complexity},
author = {Olgur Celikbas and Arash Sadeghi and Naoki Taniguchi},
journal= {arXiv preprint arXiv:1812.10597},
year = {2020}
}
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8 pages