Divisibilidad numérica a través de divisores primarios y de un isomorfismo de retículos

  1. Roanes Macías, Eugenio 1
  1. 1 Universidad Co
Aldizkaria:
Boletín de la Sociedad Puig Adam de profesores de matemáticas

ISSN: 1135-0261

Argitalpen urtea: 2022

Zenbakia: 113

Orrialdeak: 38-47

Mota: Artikulua

Beste argitalpen batzuk: Boletín de la Sociedad Puig Adam de profesores de matemáticas

Laburpena

The map that associates to each nonnegative integer the subset of its divisors that are primary numbers (rime powers) is considered. in thes way, the relation "to e a divisor of " between natural numbers tranlates into the inclusion of their respective subsets of primary divisors. moreover, the numerical operations gcd and lcm translate into the set operations, intersection and union. This leads to justifying teh calculation of the gcd and lcm in a more intuitive way and also to prove the properties of these numeric opartions by means of a lattice isomorphism