Groups and monoids of Pythagorean triples connected to conics

We define operations that give the set of all Pythagorean triples a structure of commutative monoid. In particular, we define these operations by using injections between integer triples and 3 × 3 matrices. Firstly, we completely characterize these injections that yield commutative monoids of intege...

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Bibliographic Details
Main Authors: Murru Nadir, Abrate Marco, Barbero Stefano, Cerruti Umberto
Format: Article
Language:English
Published: De Gruyter 2017-11-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0111