Definition:Vector Space on Field Extension
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Definition
Let $\struct {K, +, \times}$ be a field.
Let $L / K$ be a field extension over $K$.
Then $\struct {L, +, \times}_K$ is the vector space on $L$ over $K$.
Also see
Sources
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $8$: Field Extensions: $\S 36$. The Degree of a Field Extension