A01=John Milnor
Abelian group
Absolute value
Algebraic equation
Algebraic integer
Algebraic K-theory
Author_John Milnor
Banach algebra
Basis (linear algebra)
Category=PB
Commutative property
Commutative ring
Commutator
Complex number
Congruence subgroup
Coprime integers
Cyclic group
Dedekind domain
Direct limit
Direct sum
Division algebra
Division ring
Elementary matrix
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exact sequence
Existential quantification
Exterior algebra
Free abelian group
Function (mathematics)
Fundamental group
Galois extension
General linear group
Hausdorff space
Homological algebra
Homomorphism
Ideal (ring theory)
Identity element
Identity matrix
Integral domain
Invertible matrix
Isomorphism class
K-theory
Kummer theory
Local field
Mathematics
Matsumoto's theorem
Maximal ideal
Monomial
Noetherian
Number theory
Polynomial
Prime element
Prime ideal
Projective module
Quotient ring
Rational number
Real number
Ring of integers
Root of unity
Scientific notation
Simple algebra
Special case
Special linear group
Subgroup
Surjective function
Tensor product
Theorem
Topological group
Topological K-theory
Topological space
Topology
Variable (mathematics)
Vector space
Wedderburn's theorem
Product details
- ISBN 9780691081014
- Weight: 425g
- Dimensions: 152 x 229mm
- Publication Date: 21 Jan 1972
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ? an abelian group K0? or K1? respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.
