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On the norm residue symbol of degree 2. (English. Russian original) Zbl 0496.16020

Sov. Math., Dokl. 24, 546-551 (1981); translation from Dokl. Akad. Nauk SSSR 261, 542-547 (1981).

MSC:

16Kxx Division rings and semisimple Artin rings
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16E20 Grothendieck groups, \(K\)-theory, etc.
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
12G05 Galois cohomology
16P10 Finite rings and finite-dimensional associative algebras