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Estructura algebraica: Grupo

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Estructura algebraica: Grupo

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Propiedades de un grupo

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sigrid nikitchuk
sigrid nikitchuk
Argentina

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Estructura algebraica: Grupo
 

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Estructura algebraica: GrupoOnline version

Propiedades de un grupo

by sigrid nikitchuk
1

¿Qué propiedad garantiza que al combinar dos elementos del grupo el resultado sigue estando en el grupo?

2

¿Qué axioma establece que existe un elemento neutro e^0 tal que a·e = e·a = a?

3

¿Qué propiedad dice que (a·b)·c = a·(b·c) para cualquier a,b,c del grupo?

4

¿Qué término describe un elemento x tal que x·x = e (el elemento neutro)?

5

Si un grupo tiene a·b = b·a para todos los elementos, ¿qué tipo es?

6

¿Qué propiedad garantiza que para todo elemento a existe su inverso a⁻¹ tal que a·a⁻¹ = e?

7

En un grupo, ¿qué afirma que el conjunto y la operación están bien definidos para todas las parejas de elementos?

8

¿Qué estructura satisface todas las axiomas de grupo pero no necesariamente es conmutativa?

9

¿Qué propiedad es necesaria para que se pueda resolver a·b = c por a cuando b y c son dados?

10

¿Qué nombre recibe un conjunto con una operación que cumple cerradura, identidad, inversos y asociatividad?

 
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