A Ring of Pythagorean Triples over Quadratic Fields

Let K be a quadratic field and let R be the ring of integers of K such that R is a unique factorization domain. The set P of all Pythagorean triples in R is partitioned into P η , sets of triples 〈α, β, γ〉 in P where η = γ − β. We show the ring structures of each P η and P from the ring structur...

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Bibliographic Details
Date:2014
Main Authors: Harnchoowong, A., Somboonkulavudi, C., Гарнчоошонг, А., Сомбоонкулавуді, Ц.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2117
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal