Abstract: | Let be an associative ring. For every natural number n there is a canonical homomorphism
n: K2,n( ) K2( ), where K2 is the Milnor functor and K2,n( ) the associated unstable K-group. Dennis and Vasershtein have proved that if n is larger than the stable rank of ,
n is an epimorphism. It is proved in the article that if n – 1 is greater than the stable rank of , the homomorphism
n is an isomorphism.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 64, pp. 131–152, 1976. |