Tensor product of fields

The tensor product of fields is a construction that arises in the context of algebra, particularly in the study of vector spaces and modules. Given two fields \( K \) and \( F \), the tensor product \( K \otimes F \) can be viewed in several ways, depending on the context and the mathematical objects you are considering. ### 1. Definition Let \( K \) and \( F \) be two fields.