Rings with Zassenhaus Families of Ideals

DOI10.1080/00927870801949641zbMath1147.13011OpenAlexW2161913161MaRDI QIDQ3514758

Joshua Buckner, Manfred Dugas

Publication date: 23 July 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870801949641

zbMATH Keywords

ring of algebraic integersZassenhaus family of left idealsZassenhaus ring

Mathematics Subject Classification ID

Principal ideal rings (13F10) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

Zassenhaus rings as idealizations of modules ⋮ Local multiplication maps on F[x]

Cites Work

• Left rigid rings.
• Torsion-free E-modules
• A theorem of M. C. R. Butler for Dedekind domains
• Quasi-localizations of \(\mathbb{Z}\).
• Orders as Endomorphism Rings of Modules of the Same Rank
• On Locally Free Torsion-Free Rings of Finite Rank
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
• Unnamed Item

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