Definition:Simple Algebraic Field Extension
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Let $F$ be a field.
Let $z$ be a complex number which is algebraic over $F$.
Then the smallest field $\map F z$ containing $F$ and $z$ is known as a simple algebraic (field) extension of $F$.
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $8$: Field Extensions: $\S 38$. Simple Algebraic Extensions