Timeline for local subrings of matrix ring
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 10, 2013 at 10:33 | answer | added | Name | timeline score: 1 | |
| Mar 9, 2013 at 19:19 | comment | added | Alexander | Yes, I mean these subrings are also algebras over $k$. Actually I am interested in finite dimensional local rings over $k$. Any local ring $A$ can be embedded into $M_d(k)$ where $d=dim_k(A)$, but what is the minimal $n$ such that $A$ can be embedded into $M_n(k)$? Are there any estimates known? | |
| Mar 9, 2013 at 19:14 | vote | accept | Alexander | ||
| Mar 9, 2013 at 19:15 | |||||
| Mar 7, 2013 at 14:39 | comment | added | Name | Do you suppose that these subrings are also $K$ algebra? If not subrings of $K$ (which may be local) may complicate things. For $n=1$, you are asking the characterization of all local subrings of a commutative field. | |
| Mar 7, 2013 at 14:08 | answer | added | Boris Novikov | timeline score: 2 | |
| Mar 7, 2013 at 13:31 | history | asked | Alexander | CC BY-SA 3.0 |