symmetric monoidal (∞,1)-category of spectra
A useful smoothness criterium for noncommutative graded algebras.
Let be a field and a connected finitely generated associative -graded -algebra.
is Artin-Schelter regular (AS regular) if the following three conditions hold:
it is of finite global dimension
has polynomial growth ( is bounded above by a polynomial function )
is Gorenstein: for and .
The notion was introduced (under the name regular algebra) in :
Last revised on June 25, 2024 at 17:41:37. See the history of this page for a list of all contributions to it.