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
2023-01-01
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.File in questo prodotto:
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