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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