14-240/Tutorial-Sep30: Difference between revisions

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====Challenge Problem====
====Challenge Problem====


Find a set <math>S</math> of two elements such that <math>S</math> satisfies all the properties of the field except distributivity and <math>\exists x \in S, 0x\neq 0</math>.
Find a set <math>S</math> of two elements that satisfies the following:

(1) <math>S</math> satisfies all the properties of the field except distributivity.

(2) <math>\exists x \in S, 0x\neq 0</math>.


==Nikita==
==Nikita==

Revision as of 20:21, 4 October 2014

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