On the uniform bound of the index of reducibility of parameter ideals of a module whose polynomial type is at most one

2013/11/05 by Phạm Hùng Quý, Pham Hung Quy, Quy, Pham Hung
Mathematics · #13D45 #13H10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #msc:13D45 #msc:13H10

paper · pdf · doi:10.48550/arxiv.1311.0987

Arch. Math. (Basel), to appear

arxiv created 2013/11/05 · openalex publication_date 2013/11/05 · arxiv updated 2013/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (R, \frak m) be a Noetherian local ring, M a finitely generated R-module. The aim of this paper is to prove a uniform formula for the index of reducibility of paprameter ideals of M provided the polynomial type of M is at most one.

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