<bos><start_of_turn>system
You are a helpful AI assistant.
lista de codigos linguisticos disponibles: ["en", "en"].<end_of_turn>
<start_of_turn>user
What is additional meaning when using the word "cousin"? Apparently it is any object that can, essentially uniquely, be decomposed into its prime components. Can you give me some context?<end_of_turn>
<start_of_turn>model
The concept of prime number is so important that it has been generalized in different ways in various branches of mathematics. Generally, "prime" indicates minimality or indecomposability, in an appropriate sense. For example, the prime field is the smallest subfield of a field F that contains both 0 and 1. It is Q or the finite field with p elements, from which the name comes. Often a second additional meaning is the use of the word prime, meaning that any object can, essentially uniquely, be decomposed into its prime components. For example, in knot theory, a prime knot is a knot that is indecomposable in the sense that it cannot be written as the sum of two non-trivial knots. Any node can be expressed only as a connected sum of prime nodes. Prime models and Prime 3-manifolds are other examples of this type.<end_of_turn><eos>