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 Pη , sets of triples 〈α, β, γ〉 in P where η = γ − β. We show the ring structures of each Pη and P from the ring structure of R...
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| Published in: | Український математичний журнал |
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| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/165128 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A ring of Pythagorean triples over quadratic fields / C. Somboonkulavudi, A. Harnchoowong // Український математичний журнал. — 2014. — Т. 66, № 1. — С. 135–139. — Бібліогр.: 2 назв. — англ. |
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