Algebraic number/Related Articles: Difference between revisions
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imported>Barry R. Smith (added Dirichlet's unit theorem) |
imported>Richard Pinch (→Other related topics: replaced Defining Polynomial by Minimal polynomial) |
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{{r|Algebraic number field}} | {{r|Algebraic number field}} | ||
{{r|Algebraically closed field}} | {{r|Algebraically closed field}} | ||
{{r|Dirichlet's unit theorem}} | {{r|Dirichlet's unit theorem}} | ||
{{r|Galois theory}} | {{r|Galois theory}} | ||
{{r|Minimal polynomial}} | |||
{{r|Polynomial}} | {{r|Polynomial}} | ||
{{r|Transcendental number}} | {{r|Transcendental number}} | ||
Revision as of 01:29, 22 December 2008
- See also changes related to Algebraic number, or pages that link to Algebraic number or to this page or whose text contains "Algebraic number".
Parent topics
- Complex number [r]: Numbers of the form a+bi, where a and b are real numbers and i denotes a number satisfying . [e]
- Algebraic number theory [r]: Add brief definition or description
Subtopics
- Rational number [r]: A number that can be expressed as a ratio of two integers. [e]
- Surd [r]: Add brief definition or description
- Unit (algebraic integer) [r]: Add brief definition or description
- Root of unity [r]: An algebraic quantity some power of which is equal to one. [e]
- Gauss sum [r]: Add brief definition or description
- Gaussian period [r]: Add brief definition or description
- Gaussian integer [r]: A number of the form a + bi, where a and b are integers. [e]
- Eisenstein integer [r]: Add brief definition or description
- Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory. [e]
- Algebraically closed field [r]: Add brief definition or description
- Dirichlet's unit theorem [r]: Add brief definition or description
- Galois theory [r]: Algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. [e]
- Minimal polynomial [r]: The monic polynomial of least degree which a square matrix or endomorphism satisfies. [e]
- Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]
- Transcendental number [r]: A number which is not algebraic: that is, does not satisfy any polynomial with integer or rational coefficients. [e]