![TIL there are Euclidean Domains that are Euclidean with respect to a norm that is not the respective field norm. One such example is the ring of integers of Q(sqrt(69)) : r/math TIL there are Euclidean Domains that are Euclidean with respect to a norm that is not the respective field norm. One such example is the ring of integers of Q(sqrt(69)) : r/math](https://external-preview.redd.it/ptQ19VWGHMt4MOK_dfYXYXetcryR2n1PeLf0_yPyLms.jpg?width=640&crop=smart&auto=webp&s=312958760a5418817eaa4db5e11c1c6c615943d4)
TIL there are Euclidean Domains that are Euclidean with respect to a norm that is not the respective field norm. One such example is the ring of integers of Q(sqrt(69)) : r/math
![There is Exactly One Ring Homomorphism From the Ring of Integers to Any Ring | Problems in Mathematics There is Exactly One Ring Homomorphism From the Ring of Integers to Any Ring | Problems in Mathematics](https://i0.wp.com/yutsumura.com/wp-content/uploads/2016/12/ring-theory-eye-catch-e1497227610548.jpg?resize=720%2C340&ssl=1)
There is Exactly One Ring Homomorphism From the Ring of Integers to Any Ring | Problems in Mathematics
![SOLVED:Problem two Consider the rings Z[V1O] and the ring of integers Z Define the map Zlv1o] ' z with: = AA where A is the conjugate of A Answer the following: a) SOLVED:Problem two Consider the rings Z[V1O] and the ring of integers Z Define the map Zlv1o] ' z with: = AA where A is the conjugate of A Answer the following: a)](https://cdn.numerade.com/ask_images/4bd4dee6c8f44f8ea2ddbcaa9e113bb2.jpg)
SOLVED:Problem two Consider the rings Z[V1O] and the ring of integers Z Define the map Zlv1o] ' z with: = AA where A is the conjugate of A Answer the following: a)
![abstract algebra - Ideals of the quadratic integer ring $\mathbb{Z}[\sqrt{-5}]$ - Mathematics Stack Exchange abstract algebra - Ideals of the quadratic integer ring $\mathbb{Z}[\sqrt{-5}]$ - Mathematics Stack Exchange](https://i.stack.imgur.com/l2otP.png)
abstract algebra - Ideals of the quadratic integer ring $\mathbb{Z}[\sqrt{-5}]$ - Mathematics Stack Exchange
![abstract algebra - In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements? - Mathematics abstract algebra - In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements? - Mathematics](https://i.stack.imgur.com/OGS3s.png)
abstract algebra - In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements? - Mathematics
![PDF] Cyclotomic matrices and graphs over the ring of integers of some imaginary quadratic fields | Semantic Scholar PDF] Cyclotomic matrices and graphs over the ring of integers of some imaginary quadratic fields | Semantic Scholar](https://d3i71xaburhd42.cloudfront.net/4a6afcc999961835a01c4624e4fecc9a8d14943c/6-Figure3-1.png)