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Quiz: Estructuras algebraicas

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Quiz: Estructuras algebraicas

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About this activity

Verdadero o falso sobre semigrupos, grupos, anillos y cuerpos.

Created by

Gaston Alejandro Butteri Stubbe
Gaston Alejandro Butteri Stubbe
Argentina

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Quiz: Estructuras algebraicas
 

Quiz: Estructuras algebraicasOnline version

Verdadero o falso sobre semigrupos, grupos, anillos y cuerpos.

by Gaston Alejandro Butteri Stubbe
1

Un semigrupo es una estructura con una ley de composición cerrada y asociativa.

2

Todo semigrupo es conmutativo.

3

En un monoide cada elemento tiene inverso.

4

En un grupo, toda elemento tiene inverso respecto a la operación.

5

En un anillo, la suma forma un grupo abeliano y la multiplicación es asociativa y distribuye sobre la suma.

6

La multiplicación en un cuerpo no es asociativa.

7

En un anillo la suma no tiene inverso.

8

Un monoide es un semigrupo con un elemento neutro.

9

En un cuerpo, la suma forma un grupo abeliano y cada elemento distinto de cero tiene inverso multiplicativo, y la multiplicación es conmutativa.

10

Un grupo es siempre un cuerpo.

 
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