Timeline for Is there a name for commutative algebras over a field $k$ whose residue class fields have finite dimension over $k$?
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Jun 9, 2020 at 10:14 | comment | added | Nulhomologous | There are also the completions of such local $k$-algebras, like $k[[x]]$, and any $k$-algebra in between. | |
Jun 8, 2020 at 14:38 | comment | added | Mohan | @LeoAlonso Essentially finite type includes localizations at arbitrary multiplicatively closed subsets, but the property desired by the OP is satisfied only if you semilocalize at maximal ideals. | |
Jun 8, 2020 at 11:31 | comment | added | M.G. | I would very much like to say "residually finite", but that's already taken by group theory :-) | |
Jun 8, 2020 at 10:52 | comment | added | Leo Alonso | At least essentially finitely generated algebras (a localization of a finitely generated algebra) have this property. This condition arises frequently. | |
Jun 8, 2020 at 10:34 | history | edited | YCor | CC BY-SA 4.0 |
edited tags, added "commutative" implicit assumption
|
Jun 8, 2020 at 9:05 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
a minor typo
|
Jun 8, 2020 at 9:03 | history | edited | YCor |
edited tags; edited tags
|
|
Jun 8, 2020 at 6:09 | history | asked | windsheaf | CC BY-SA 4.0 |