This article is cited in 14 papers

The Steinberg group of a polynomial ring

M. S. Tulenbaev


Abstract: The main result of this paper is the following
Theorem. {\it If $A$ is a Noetherian ring$,$ then the canonical homomorphism $K_{2, r}(A[x_1,\dots,x_n])\to K_2(A[x_1,\dots,x_n])$ is surjective when $r\geqslant\max(4,\dim A+2)$ and injective when $r\geqslant\max(5,\dim A+3)$.}
Bibliography: 9 titles.

UDC: 513.836

MSC: Primary 13D15, 13B25; Secondary 13E05

Received: 18.09.1980

 English version: Mathematics of the USSR-Sbornik, 1983, 45:1, 139–154

Bibliographic databases:

• 
•