Re:Connections between Abstract Algebra and High School Alge...
by sedeki on Wednesday December 06, 2017 @08:27AM
(#15860883)
It was a long time since I studied this, but it is not true in all situations, e.g. when working with congruences modulo some non-prime number.
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Re:Connections between Abstract Algebra and High School Alge...
by ImNotDeadYet on Wednesday December 06, 2017 @08:37AM
(#15860931)
In abstract algebra those would be rings with zero divisors. But all my early algebra education was in integral domains (ring without zero divisors like the integers) or fields which are even nicer.
Re:Connections between Abstract Algebra and High School Alge...
by galobtter on Wednesday December 06, 2017 @08:49AM
(#15860999)
I was talking mainly about the simple case presented above.
x*y can be 0 (mod 6) but I don't think it takes knowing abstract algebra and a deep knowledge of modulo and axioms to figure that out. I hope math teachers that don't know abstract algebra know that!