14-240/Tutorial-Sep30

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Boris

Challenge Problem

Find a set [math]\displaystyle{ S }[/math] of two elements that satisfies the following:

   (1) [math]\displaystyle{ S }[/math] satisfies all the properties of the field except distributivity.
   (2) [math]\displaystyle{ \exists x \in S, 0x\neq 0 }[/math].

Nikita