The semigroup of reflective subcategories
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 61-75
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			An associative product is defined on the class of reflective subcategories of certain categories; we assume that the subcategories are closed under subobjects. The “semigroup”' obtained contains, in particular, the semigroup of varieties. Dually, one can define the “semigroup”' of coreflective subcategories with the same rule of multiplication.
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      @article{SM_1970_10_1_a4,
     author = {M. Sh. Tsalenko},
     title = {The semigroup of reflective subcategories},
     journal = {Sbornik. Mathematics},
     pages = {61--75},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_10_1_a4/}
}
                      
                      
                    M. Sh. Tsalenko. The semigroup of reflective subcategories. Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 61-75. http://geodesic.mathdoc.fr/item/SM_1970_10_1_a4/
