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UBA - CienciaS • Ver Tema - Enunciados PRACTICA 2 2doC 2009
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 Asunto: Enunciados PRACTICA 2 2doC 2009
NotaPublicado: 25 Oct 2009, 21:12 
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EJERCICIO 1:
(a) Factorizar en como producto de irreducibles.
(b) Hallar todos los pares que satisfacen la ecuacion:

EJERCICIO 2:
Probar que si es un primo / con entonces y son unicos salvo el orden. Escribir las descomposiciones posibles de 70785 como suma de dos cuadrados.

EJERCICIO 3:
(a) Probar que no es.
(b) Probar que es un dominio euclideano. Calcular las unidades.
(c) Probar que es un dominio euclideano.

EJERCICIO 4:
Hallar todos los enteros x,y que satisfacen

EJERCICIO 5:
(a) Probar que la ecuacionno tiene soluciones enteras.
(b) Probar que si es una unidad\ de entonces
(c) Caracterizar todas las unidades de


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