The primary objective of this paper is to find suitable binary operations on the set of Pythagorean triples, obtaining two commutative infinite groups, one with elements in Q and the other with elements in Z. Additionally, we aim to get a commutative infinite monoid with elements in N or in Z. In particular, on the set of primitive Pythagorean triples, we establish a commutative infinite group with elements in Z.

GROUPS AND MONOID IN THE SET OF PYTHAGOREAN TRIPLES

Roberto Amato
2024-01-01

Abstract

The primary objective of this paper is to find suitable binary operations on the set of Pythagorean triples, obtaining two commutative infinite groups, one with elements in Q and the other with elements in Z. Additionally, we aim to get a commutative infinite monoid with elements in N or in Z. In particular, on the set of primitive Pythagorean triples, we establish a commutative infinite group with elements in Z.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3284774
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