Algebraic K-theory (in the Steklov mathematical institute of the academy of sciences). (English) Zbl 0602.13005

Suslin, A. A.

Proc. Steklov Inst. Math. 168, 161-177 (1986).

Translation from Tr. Mat. Inst. Steklova 168, 155-170 (Russian) (1984; Zbl 0586.13012).

MSC:

13D15	Grothendieck groups, \(K\)-theory and commutative rings
18F25	Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
13-03	History of commutative algebra
55R50	Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory
14C35	Applications of methods of algebraic \(K\)-theory in algebraic geometry
13C10	Projective and free modules and ideals in commutative rings
01A60	History of mathematics in the 20th century

Keywords:

algebraic K-theory; topological K-theory; Brauer groups; Serre problem