Algebraic algebras and prime varieties of associative algebras
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 200 (2009) no. 5, pp. 723-751
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			The following problem of Kemer is solved for prime varieties of associative algebras with unit:
it is shown that over an infinite field of positive characteristic, each prime variety of associative
algebras with unit is generated by an algebraic algebra of bounded algebraicity index over this field.
Bibliography: 10 titles.
			
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
polynomial identities, varieties of algebras
Mots-clés : algebraic algebras.
                    
                  
                
                
                Mots-clés : algebraic algebras.
@article{SM_2009_200_5_a5,
     author = {L. M. Samoilov},
     title = {Algebraic algebras and prime varieties of associative algebras},
     journal = {Sbornik. Mathematics},
     pages = {723--751},
     publisher = {mathdoc},
     volume = {200},
     number = {5},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_5_a5/}
}
                      
                      
                    L. M. Samoilov. Algebraic algebras and prime varieties of associative algebras. Sbornik. Mathematics, Tome 200 (2009) no. 5, pp. 723-751. http://geodesic.mathdoc.fr/item/SM_2009_200_5_a5/
