Work

Local isomorphism classes of fractional ideals of orders in étale algebras

Year: 2025

Type: article

Abstract: We study the local isomorphism classes, also known as genera or weak equivalence classes, of fractional ideals of orders in étale algebras. We provide a classification in terms of linear algebra objects over residue fields. As a by-product, we obtain a recursive algorithm to compute representatives of the classes, which vastly outperforms previously known methods.

Source: Journal of Algebra

DOI: 10.1016/j.jalgebra.2025.02.030

Author: Stefano Marseglia

Institution: Utrecht University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,310

Funder: Nederlandse Organisatie voor Wetenschappelijk Onderzoek