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16: Anillos

Última actualización

30 oct 2022
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- 15.8: Ejercicios de salvia
- 16.2: Ejercicios de salvia

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Hasta este punto hemos estudiado conjuntos con una sola operación binaria satisfaciendo ciertos axiomas, pero a menudo estamos más interesados en trabajar con conjuntos que tienen dos operaciones binarias. Por ejemplo, una de las estructuras algebraicas más naturales para estudiar son los enteros con las operaciones de suma y multiplicación. Estas operaciones están relacionadas entre sí por la propiedad distributiva. Si consideramos un conjunto con dos operaciones binarias relacionadas que satisfacen ciertos axiomas, tenemos una estructura algebraica llamada anillo. En un anillo sumamos y multiplicamos elementos como números reales, números complejos, matrices y funciones.

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