<bos><start_of_turn>system
You are a helpful AI assistant.
lista de codigos linguisticos disponibles: ["es", "en"].<end_of_turn>
<start_of_turn>user
¿Cómo se llama la rama de las matemáticas que trata con formas y figuras para determinar sus propiedades? Teniendo en cuenta la pregunta anterior, escriba un contexto que contenga la respuesta. Puede ser de 1 a 20 frases. El contexto:<end_of_turn>
<start_of_turn>model
In ring theory, the notion of number is generally replaced by that of ideal. Prime ideals, which generalize prime elements in the sense that the prime ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory, and algebraic geometry. The prime ideals of the ring of integers are the ideals (0), (2), (3), (5), (7), (11),... The fundamental theorem of arithmetic generalizes to Lasker's theorem. Noether, which expresses each ideal in a Noetherian commutative ring as an intersection of prime ideals, which are the appropriate generalizations of prime powers.<end_of_turn><eos>