A family of number fields with unit rank at least 4 that has Euclidean ideals

DOI10.1090/S0002-9939-2013-11602-3zbMath1329.11115OpenAlexW1972249452MaRDI QIDQ2845446

Hester Graves, M. Ram Murty

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11602-3

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04) Euclidean rings and generalizations (13F07) Sieves (11N35)

Related Items (7)

Unnamed Item ⋮ Euclidean ideal classes in Galois number fields of odd prime degree ⋮ On existence of Euclidean ideal classes in real cubic and quadratic fields with cyclic class group ⋮ On Euclidean ideal classes in certain abelian extensions ⋮ Non-principal Euclidean ideal class in a family of biquadratic fields with the class number two ⋮ Growth results and Euclidean ideals ⋮ Biquadratic fields having a non-principal Euclidean ideal class

Uses Software

• SageMath

Cites Work

• Unnamed Item
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• A remark on Artin's conjecture
• Growth results and Euclidean ideals
• Euclidean Ideals in Quadratic Imaginary Fields
• $\mathbb{Q}(\sqrt{2}, \sqrt{35})$ HAS A NON-PRINCIPAL EUCLIDEAN IDEAL
• ℤ[ is Euclidean]
• Euclidean Rings of Algebraic Integers

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