English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We give a complete classification of quadratic algebras A, with Hilbertseries $H_A=(1-t)^{-3}$, which is the Hilbert series of commutative polynomialson 3 variables. Koszul algebras as well as algebras with quadratic Gr\"obnerbasis among them are identified. We also give a complete classification ofcubic algebras A with Hilbert series $H_A=(1+t)^{-1}(1-t)^{-3}$. These twoclasses of algebras contain all Artin-Schelter regular algebras of globaldimension 3. As far as the latter are concerned, our results extend well-knownresults of Artin and Schelter by providing a classification up to an algebraisomorphism.

Classification of quadratic and cubic PBW algebras on three generators