Introduction to Algebraic K-Theory. (AM-72) |
Algebraic K-theory describes a branch of algebra that centers about two functors. K_{0} and K_{1}, which assign to each associative ring ∧ an abelian group K_{0}∧ or K_{1}∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K_{2}, also from associative rings to abelian groups. Just as functors K_{0} and K_{1} are important to geometric topologists, K_{2} is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic. Other Princeton books authored or coauthored by John Milnor:
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