On a problem of Amitsur and Small
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912149294546944 |
|---|---|
| author | Paran, Elad |
| author_facet | Paran, Elad |
| contents | We construct an example of a division ring $D$ and a maximal left ideal $M$ in the polynomial ring $D[x,y]$ in two central variables over $D$, such that the intersection $M \cap D[x]$ is not a maximal left ideal in $D[x]$. This resolves a ring-theoretic problem of Amitsur and Small raised in 1978. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06230 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a problem of Amitsur and Small Paran, Elad Commutative Algebra We construct an example of a division ring $D$ and a maximal left ideal $M$ in the polynomial ring $D[x,y]$ in two central variables over $D$, such that the intersection $M \cap D[x]$ is not a maximal left ideal in $D[x]$. This resolves a ring-theoretic problem of Amitsur and Small raised in 1978. |
| title | On a problem of Amitsur and Small |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2412.06230 |