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Gaussian integer cardinality

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#gaussian-integers
369
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Problem about Gaussian prime

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#gaussian-integers
140
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What about $Z[i]/\langle a+ib\rangle$ if $\gcd (a,b) \ne 1$?

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#abstract-algebra #gaussian-integers
682
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Prove that there is a unique homomorphism from $\mathbb{Z} [i]$ to $\mathbb{Z}/2\mathbb{Z}$.

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#abstract-algebra #ring-theory #ring-homomorphism #gaussian-integers
45
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Points of $\mathbb{Z}[e^{\frac{2\pi i}{n}}]$ in $\mathbb{C}$

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#abstract-algebra #complex-analysis #gaussian-integers
225
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How many quotients/remainders can we get for a given Gaussian integer?

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#geometry #integer-lattices #gaussian-integers #euclidean-domain
151
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Non unique factorization over Gaussian integers

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#gaussian-integers
81
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Prove that a homomorphism is surjective

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#abstract-algebra #ideals #ring-homomorphism #gaussian-integers
101
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Some confusion about Gaussian ring

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#abstract-algebra #field-theory #gaussian-integers
661
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If the product of two relatively prime elements is a cube then the factors are also cubes .

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#abstract-algebra #number-theory #gaussian-integers
71
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Conjugate of a Gauss integer also divides P

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#abstract-algebra #ring-theory #algebraic-number-theory #gaussian-integers
83
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Is it true that for all large enough integer $n$, there is a integer $m$ such that $n+im$ is a Gaussian prime?

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#number-theory #prime-numbers #gaussian-integers
84
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Complex numbers $z$ such that $n-z$ and $n+z$ are Gaussian primes

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#number-theory #prime-numbers #gaussian-integers
196
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Parity for Gaussian integers $a+bi,\ a,b\in\Bbb Z$

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#elementary-number-theory #gaussian-integers #parity
86
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Is there a computer-usable algorithm for division of Gaussian Integers?

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#abstract-algebra #computational-mathematics #gaussian-integers

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