Syzygies of the residue field over Golod rings

2024/08/24 by Đoàn Trung Cường, Hailong Dao, Cuong, Doan Trung +9 · 1 citation
Engineering · Mathematics · #13C13 #13D09 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics #Graph theory and applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2408.13425

openalex publication_date 2024/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Let (R,m,k) be a Golod ring. We show a recurrent formula for high syzygies of k interms of previous ones. In the case of embedding dimension at most 2, we provided complete descriptions of all indecomposable summands of all syzygies of k.

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