Varieties of finitely approximable semigroups
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 349-355
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			In this paper we discuss the question of when a variety of commutative or nilpotent semigroups consists only of finitely approximate semigroups. Moreover, we give necessary and sufficient conditions in order to have $\operatorname{Var}S=q\operatorname{Var}S$ (here $\operatorname{Var}S$ denotes the variety generated by the semigroup $S$, and $q\operatorname{Var}S$ the quasivariety generated by $S$).
Bibliography: 3 titles.
			
            
            
            
          
        
      @article{SM_1972_17_3_a1,
     author = {S. G. Mamikonyan},
     title = {Varieties of finitely approximable semigroups},
     journal = {Sbornik. Mathematics},
     pages = {349--355},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_17_3_a1/}
}
                      
                      
                    S. G. Mamikonyan. Varieties of finitely approximable semigroups. Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 349-355. http://geodesic.mathdoc.fr/item/SM_1972_17_3_a1/
