On a class of Burch ideals and a conjecture of Huneke and Wiegand

2020/05/26 by Olgur Celikbas, Celikbas, Olgur, Toshinori Kobayashi +1 · 1 citation
Mathematics · #13C12 #13D05 #13D07 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Secondary 13H10

paper · pdf · doi:10.48550/arxiv.2005.12652

openalex publication_date 2020/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we are concerned with a long-standing conjecture of Huneke and Wiegand. We introduce a new class of ideals and prove thateach ideal from such class satisfies the conclusion of the conjecture in question. We also study the relation between the class of Burch ideals and that of the ideals we define, and construct several examples that corroborate our results.

Citations

• Burch ideals and Burch rings

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• A study of the cohomological rigidity property

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