algebraic K-theory

== English == === Noun === algebraic K-theory (uncountable) (algebraic geometry) K-theory studied from the point of view of algebra. 2014, Daniel Scott Farley, Ivonne Johanna Ortiz, Algebraic K-theory of Crystallographic Groups, Springer, Lecture Notes in Mathematics 2113, page 1, Algebraic K-theory is a branch of algebra dealing with linear algebra over a general ring R instead of a field. […] Algebraic K-theory plays an important part in many areas of mathematics, especially number theory, algebraic topology and algebraic geometry. ==== Derived terms ==== higher algebraic K-theory ==== Related terms ==== K-theory topological K-theory ==== Translations ==== === See also === K-group === Further reading === Grothendieck–Riemann–Roch theorem on Wikipedia.Wikipedia Grothendieck group on Wikipedia.Wikipedia Algebraic K-theory on Encyclopedia of Mathematics K-theory on Encyclopedia of Mathematics K-functor on Encyclopedia of Mathematics Grothendieck group on Encyclopedia of Mathematics algebraic K-theory on n-Lab