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Non-controlling interest (Tables)
12 Months Ended
Dec. 31, 2018
Disclosure of Non-controlling interest [Abstract]  
Schedule of Non-controlling Interest Changes

The table below shows the changes for the years ended December 31, 2018 and 2017:

 

  2 0 1 8   2 0 1 7
           
Balance at beginning of year $ (108,572)   $ (105,186)
Share of profits and losses for the year              (206,417)     (145)
Share of translation effects of foreign subsidiaries            (8,380)      (3,241)
Balance at the end of the year $ (323,369)   $ (108,572)