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Find a set <math>S</math> of two elements that satisfies the following:
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.
(1) <math>S</math> satisfies all the properties of the field except distributivity.

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



Revision as of 20:24, 4 October 2014

Boris

Challenge Problem

Find a set of two elements that satisfies the following:

   (1)  satisfies all the properties of the field except distributivity.
   
   (2) .

Nikita