Additive decomposability of functions over abelian groups
          Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás  
          
          International Journal of Algebra and Computation, 23 (2013), 643-662  
          http://dx.doi.org/10.1142/S0218196713500136  
           
          Abelian groups are classified by the existence of certain additive decompositions of group-valued functions of several variables.  
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