The Factor Ring Structure of Quadratic Principal Ideal Domains

DOI10.1080/00029890.2023.2261827OpenAlexW4388566643MaRDI QIDQ6144631

John Greene, Unnamed Author

Publication date: 8 January 2024

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2023.2261827

zbMATH Keywords

Gaussian integersEisenstein integers

Mathematics Subject Classification ID

Quadratic extensions (11R11) Principal ideal rings (13F10)

Cites Work

• A complete determination of the complex quadratic fields of class-number one
• Diophantine analysis and modular forms
• Gauss’ class number problem for imaginary quadratic fields
• Finding Factors of Factor Rings over the Gaussian Integers
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