On the ideal discriminant of some relative pure extensions

DOI10.5269/BSPM.64902MaRDI QIDQ6596912

Omar Boughaleb, Mohamed E. Charkani

Publication date: 3 September 2024

Published in: Boletim da Sociedade Paranaense de Matemática. Terceira Série (Search for Journal in Brave)

zbMATH Keywords

discriminantintegral closurerelative pure extensions

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Principal ideal rings (13F10) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Generating a power basis over a Dedekind ring
• The determination of integral closures and geometric applications
• On a theorem of Ore
• When is \(\mathbb{Z}[a]\) the ring of the integers?
• On Dedekind's criterion and monogenicity over Dedekind rings
• On criteria by Dedekind and Ore for integral ring extensions
• Relative integral bases for quartic fields over quadratic subfields
• On relative power integral basis of a family of numbers fields
• Integral basis of pure prime degree number fields
• Normal integral bases for cyclic Kummer extensions
• Discriminants of pure square-free degree number fields
• A Generalization of Dedekind Criterion
• The monogeneity of radical extensions
• Diophantine Equations and Power Integral Bases
• ON INTEGRAL BASIS OF PURE NUMBER FIELDS

This page was built for publication: On the ideal discriminant of some relative pure extensions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6596912)