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    STUDIA MATHEMATICA - Issue no. 4 / 2015  
         
  Article:   ℵ1A-COSEPERABLE GROUPS.

Authors:  . 		 
       
         
  Abstract:   Let A be a countable self-small Abelian group with a right Noetherian right hereditary endomorphism ring. We show that the question whether strongly-ℵ1-A-generated groups are ℵ1-A-coseparable is undecidable in ZFC. Our mainfocus is on the algebraic aspect of the proof, not on the underlying set-theory.

Mathematics Subject Classification (2010): 20K20, 20K40.

Keywords: ℵ1-a-coseparable groups, Martin’s axiom, endomorphism rings.
 
         
     
         
         
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