Splitting field/Related Articles: Difference between revisions
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imported>Richard Pinch (→Parent topics: added Galois theory) |
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{{r|Normal extension}} | {{r|Normal extension}} | ||
{{r|Polynomial}} | {{r|Polynomial}} | ||
==Articles related by keyphrases (Bot populated)== | |||
{{r|Conductor of a number field}} | |||
{{r|Separable extension}} | |||
{{r|Stock split}} | |||
{{r|Algebra over a field}} | |||
{{r|Characteristic polynomial}} | |||
Latest revision as of 06:01, 21 October 2024
- See also changes related to Splitting field, or pages that link to Splitting field or to this page or whose text contains "Splitting field".
Parent topics
- Field extension [r]: A field containing a given field as a subfield. [e]
- Galois theory [r]: Algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. [e]
Subtopics
- Normal extension [r]: A field extension which contains all the roots of an irreducible polynomial if it contains one such root. [e]
- Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]
- Conductor of a number field [r]: Used in algebraic number theory; a modulus which determines the splitting of prime ideals. [e]
- Separable extension [r]: A field extension in which all elements are separable. [e]
- Stock split [r]: An increase in the number of outstanding shares of a company's stock, such that proportionate equity of each shareholder remains the same. [e]
- Algebra over a field [r]: A ring containing an isomorphic copy of a given field in its centre. [e]
- Characteristic polynomial [r]: The polynomial attached to a square matrix or endomorphism det(A-XI)=0. [e]