12-240/Classnotes for Thursday September 13: Difference between revisions

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A field is a set "F' with two binary operations +,x defind on it, and two special elements 0 ≠ 1 such that
A field is a set "F' with two binary operations +,x defind on it, and two special elements 0 ≠ 1 such that


'''F1:''' \forall\
'''F1:''' <math>\forall \!\,</math>

Revision as of 17:29, 13 September 2012

In the second day of the class, the professor continues on the definition of a field.

Definition of a field

Combined with a part from the first class, we have a complete definition as follow:

A field is a set "F' with two binary operations +,x defind on it, and two special elements 0 ≠ 1 such that

F1: