Timeline for Finite dimensional division algebra over pseudo-algebraic closed field
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 24, 2017 at 17:11 | comment | added | Harry Gindi | $\operatorname{EGA}_0 \S 18$ got it for ya | |
| Aug 24, 2017 at 17:00 | vote | accept | user43198 | ||
| Aug 24, 2017 at 16:45 | comment | added | Harry Gindi | Oops ran out of time to edit it, but yeah it's in the section on ExAlComm | |
| Aug 24, 2017 at 16:39 | comment | added | Harry Gindi | @JasonStarr Yeah, if I remember correctly, EGA or SGA makes this distinction between R-rings, R-algebras, and R-extensions, the first being noncentral ring maps, the second being central ring maps, and the third being central maps into commutative rings in the section about something involving derived functors, possibly the degree 1 Quillen-Andre ones. | |
| Aug 24, 2017 at 16:33 | answer | added | user05811 | timeline score: 4 | |
| Aug 24, 2017 at 13:03 | comment | added | Jason Starr | Presumably the answer below has to do with the following issue. Some mathematicians use "division algebra over $k$" to mean a finite dimensional $k$-algebra that is a division algebra and whose center equals $k$. That is presumably also what you intend. However, other mathematicians make no such hypothesis about the center of the division algebra. In that case, also field extensions of $k$ are "division algebras over $k$". The term "central simple algebras" clarifies this, because "central" is part of the name. | |
| Aug 24, 2017 at 12:42 | answer | added | Dirk | timeline score: 6 | |
| Aug 24, 2017 at 12:34 | history | asked | user43198 | CC BY-SA 3.0 |