Fields can be seen as one-dimensional vector spaces over themselves

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Note that, given a Field $\mathbb{K}$, one can construct a Vector Space $(\mathbb{K},+,\cdot )$ trivially. Note that all of its elements can be generated by a Spanning Set $\{1\}\subset \mathbb{K}$.

In fact, it can be generated by any non-null element of $\mathbb{K}$, since any other element can be generated from it by dividing by it (since it’s not $0$) and multiplying by the element in the field to generate the element in the vector space.