Tag Archives: ring

Quotient Ring of the Gaussian Integers is Finite

The Gaussian Integers are the set of complex numbers of the form , with integers. Originally discovered and studied by Gauss, the Gaussian Integers are useful in number theory, for instance they can be used to prove that a prime … Continue reading

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Useful Theorem in Introductory Ring Theory

Something interesting I realised in my studies in Math is that certain theorems are more “useful” than others. Certain theorems’ sole purpose seem to be an intermediate step to prove another theorem and are never used again. Other theorems seem … Continue reading

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