Leseprobe
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Introduction to Algebraic K-Theory
John Milnor
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Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra
Beschreibung
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.
Kundenbewertungen
Surjective function, Special case, Abelian group, Isomorphism class, Cyclic group, Commutative ring, Direct sum, Rational number, Division algebra, Polynomial, Identity element, Tensor product, Quotient ring, Ring of integers, Basis (linear algebra), Root of unity, Number theory, Division ring, Topology, Absolute value, Matsumoto's theorem, Fundamental group, Topological group, Identity matrix, Free abelian group, Function (mathematics), Homological algebra, Ideal (ring theory), Commutator, Theorem, Local field, Wedderburn's theorem, Direct limit, Noetherian, Variable (mathematics), Prime element, Integral domain, Real number, Algebraic K-theory, Banach algebra, Projective module, Vector space, Hausdorff space, Kummer theory, Homomorphism, Algebraic equation, Prime ideal, Exterior algebra, Mathematics, Simple algebra, Exact sequence, Scientific notation, Existential quantification, Subgroup, Topological K-theory, Complex number, Galois extension, Commutative property, Congruence subgroup, Monomial, Elementary matrix, Topological space, Special linear group, General linear group, K-theory, Algebraic integer, Dedekind domain, Invertible matrix, Maximal ideal, Coprime integers