Word.ws English Dictionary

algebraically independent

algebraically independent adjective: (Of a subset S of the extension field L of a given field extension L / K) whose elements do not satisfy any non-trivial polynomial equation with coefficients in K.

Adjective

algebraically independent (not comparable)

  1. (field theory) (Of a subset S of the extension field L of a given field extension L / K) whose elements do not satisfy any non-trivial polynomial equation with coefficients in K.
    • The singleton set #92;#123;#92;alpha#92;#125; is algebraically independent over K if and only if the element #92;alpha is transcendental over K.
    • A subset S#92;subsetL is algebraically independent over K if every element of S is transcendental over K and over each of the extension fields over K generated by the remaining elements of S.

algebraically independent meaning in Tamil

algebraically independent in Tamil

அறம சார்பற்ற

Antonyms of algebraically independent

  • algebraically dependent

Questions about algebraically independent

What does algebraically independent mean?
Algebraically independent means (Of a subset S of the extension field L of a given field extension L / K) whose elements do not satisfy any non-trivial polynomial equation with coefficients in K.
What is algebraically independent in Tamil?
Algebraically independent in Tamil is அறம சார்பற்ற. See Algebraically independent meaning in Tamil.
What part of speech is algebraically independent?
Algebraically independent is an adjective.

Words near algebraically independent in the dictionary

  1. algebraic varieties
  2. algebraic variety
  3. algebraical
  4. algebraically
  5. algebraically closed
  6. algebraically independent
  7. algebraicity
  8. algebraicize
  9. algebraicized
  10. algebraicizes
  11. algebraicizing

Source and license

Adapted from Wiktionary: algebraically independent (page history and authors); algebraically independent (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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