14-240/Tutorial-Sep30: Difference between revisions

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Solution:
Solution:


Let <math>a \in S</math> be the additive identity and <math>b \in S</math> be the multiplicative identity where <math>a \neq b</math>.
Let <math>a \in S</math> be the additive identity and <math>b \in S</math> be the multiplicative identity where <math>a \neq b</math>. After trial and error, we have the following addition and multiplication tables:


==Nikita==
==Nikita==

Revision as of 20:36, 4 October 2014

Boris

Problem

Find a set of two elements that satisfies the following:

  • satisfies all the properties of the field except distributivity.
  • .

Solution:

Let be the additive identity and be the multiplicative identity where . After trial and error, we have the following addition and multiplication tables:

Nikita