Artin approximation theorem: Difference between revisions

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:'''x''' = ''x''<sub>1</sub>, &hellip;, ''x''<sub>''n''</sub>
 
denote a collection of ''n'' [[indeterminate (variable)|indeterminate]]s, let
 
''k''['''x'''] the [[ring (mathematics)|ring]] of formal power series with indeterminates '''x''' over a field ''k'', and
 
: '''y''' = ''y''<sub>1</sub>, &hellip;, ''y''<sub>''m''</sub>