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Mathematical Object

Radical Extension

Algebra

In mathematics, and more specifically in field theory, a radical extension of a field K is a field extension built as a tower of intermediate field extensions, each one generated by adjoining an nth root of some element already present in the previous field in the tower. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Classification
Object Kind
Structure or Algebraic Object 1
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In Branch

Source Radical Extension (Wikipedia)

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Radical Extension (Wikipedia)
In Branch: Field Theory, Lead sentence
Quote, In Branch: Field Theory, Lead sentence
In mathematics and more specifically in field theory, a radical extension of a field K is a field extension obtained by a tower of
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