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 structure of R.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 1, pp. 135–139, January, 2014.
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Somboonkulavudi, C., Harnchoowong, A. A Ring of Pythagorean Triples over Quadratic Fields. Ukr Math J 66, 153–159 (2014). https://doi.org/10.1007/s11253-014-0918-7
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DOI: https://doi.org/10.1007/s11253-014-0918-7