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    STUDIA MATHEMATICA - Issue no. 1 / 2015  
         
  Article:   ON PRODUCTS OF SELF-SMALL ABELIAN GROUPS.

Authors:  .
 
       
         
  Abstract:  An abelian group A is called self-small if direct sums of copies of A commute with the covariant Hom (A, −) functor. The paper presents an elementary example of a non-self-small countable product of self-small abelian groups without non-zero homomorphisms between different ones. A criterion of self-smallness of a finite product of modules is given.
Mathematics Subject Classification (2010): 16D10, 16S50, 16D70.
Keywords: Self-small abelian group.
 
         
     
         
         
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