Number field

Monogenic field

A monogenic field is a number field possessing an Integral power basis, #m/def/num/alg i.e. the annoying index is unity.

Pure number field

Let be a prime and be a squarefree integer not divisible by , and . Then is monogenic iff .¹

Examples

• Quadratic field, see Quadratic integers.
• Cyclotomic field, see Cyclotomic integers.

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