query: Finding an explicit map associated with the quotient ring of Gaussian integers
positive_passages.docid: 9794
positive_passages.text: Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime
negative_passages.docid: 119052
negative_passages.text: Finding invertible elements in $\mathbb{Z}/m\mathbb{Z}$
negative_passages.docid: 51695
negative_passages.text: Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
negative_passages.docid: 44689
negative_passages.text: Explicit bijection between $[0,1)$ and $(0,1)$
negative_passages.docid: 84751
negative_passages.text: How can it be possible to localize a ring at a set with zero divisors?
negative_passages.docid: 143429
negative_passages.text: Kernel of ring homomorphism $k[X,Y] \rightarrow k[t^2, t^3]$
negative_passages.docid: 103924
negative_passages.text: Kernel of a substitution map
negative_passages.docid: 9223
negative_passages.text: Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
negative_passages.docid: 80211
negative_passages.text: Annihilator of quotient module M/IM
negative_passages.docid: 101671
negative_passages.text: Describe the image of the set $\{z=x+iy:x>0,y>0\}$ under the mapping $w=\frac{z-i}{z+i}$
negative_passages.docid: 105913
negative_passages.text: Calculations in quotient rings
negative_passages.docid: 5802
negative_passages.text: Proving the universal mapping property for polynomial rings
negative_passages.docid: 96530
negative_passages.text: Matrix representation of linear map in this basis
negative_passages.docid: 41878
negative_passages.text: Cardinal of quotient rings of gaussian integers.
negative_passages.docid: 32443
negative_passages.text: Find the kernel of a ring homomorphism $f(x)\to f(\sqrt 2)$
negative_passages.docid: 97009
negative_passages.text: Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
negative_passages.docid: 143565
negative_passages.text: Find a conformal map from semi-disc onto unit disc