The Steinberg group of a polynomial ring
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 45 (1983) no. 1, pp. 139-154
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			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 $r\geqslant\max(5,\dim A+3)$.}
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      @article{SM_1983_45_1_a8,
     author = {M. S. Tulenbaev},
     title = {The {Steinberg} group of a polynomial ring},
     journal = {Sbornik. Mathematics},
     pages = {139--154},
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_45_1_a8/}
}
                      
                      
                    M. S. Tulenbaev. The Steinberg group of a polynomial ring. Sbornik. Mathematics, Tome 45 (1983) no. 1, pp. 139-154. http://geodesic.mathdoc.fr/item/SM_1983_45_1_a8/
