Stable trace ideals and applications

2021/06/13 by Hailong Dao, Dao, Hailong, Haydee Lindo +1 · 3 citations
Mathematics · #13A15 #13B22 #13C05 #13C13 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2106.07064

openalex publication_date 2021/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study stable trace ideals in one dimensional local Cohen-Macaulay rings and give numerous applications.

Citations

• Integral closure of ideals

Cited by

• Nearly Gorenstein blow-up algebras over two-dimensional regular local rings
• Annihilation of cohomology over one dimensional almost Gorenstein rings
• When is the canonical conductor minimal?

Related

• On the set of trace ideals of a Noetherian ring
• When are trace ideals finite?
• Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings
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• The set of trace ideals of curve singularities