(New page: In the field Z5, we can see by trial and error that the polynomial x^2-2 is irreducible. Therefore Z5[x]/<x^2-2> is a field, it has 5^2 elements. -Sarah ---------------------------------)
 
 
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-Sarah
 
-Sarah
 
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Another example would be x^2+x+1.
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-Zach
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Latest revision as of 15:33, 12 November 2008

In the field Z5, we can see by trial and error that the polynomial x^2-2 is irreducible. Therefore Z5[x]/<x^2-2> is a field, it has 5^2 elements. -Sarah


Another example would be x^2+x+1. -Zach


Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett