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algebraic K-theory

algebraic K-theory noun: k-theory studied from the point of view of algebra.

Noun

algebraic K-theory (uncountable)

  1. K-theory studied from the point of view of algebra.
    • Algebraic cycles are typically studied by imposing one of several equivalence relations. The equivalence relation most relevant for algebraic K-theory is rational equivalence.1999, E. M. Friedlander, “Lecture VII. Beilinson's vision”, in H. Bass, A. O. Kuku, C. Pedrini, editors, Algebraic K-theory And Its Applications, World Scientific, page 61
    • Algebraic K-theory has two components: the classical theory which centers around the Grothendieck group K#95;0 of a category and uses explicit algebraic presentations and higher algebraic K-theory which requires topological or homological machinery to define.2013, Charles A. Weibel, The K-book: An Introduction to Algebraic K-theory, American Mathematical Society, page ix

Words formed from algebraic K-theory

  • higher algebraic K-theory

Questions about algebraic K-theory

What does algebraic K-theory mean?
Algebraic K-theory means k-theory studied from the point of view of algebra.
What part of speech is algebraic K-theory?
Algebraic K-theory is a noun.

Words near algebraic K-theory in the dictionary

  1. algebraic graph theory
  2. algebraic group
  3. algebraic groups
  4. algebraic integer
  5. algebraic integers
  6. algebraic K-theory
  7. algebraic normal form
  8. algebraic notation
  9. algebraic notations
  10. algebraic number
  11. algebraic number field

Source and license

Adapted from Wiktionary: algebraic K-theory (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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