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

Associated to any vector configuration A is a toric ideal encoded by vectorsin the kernel of A. Each toric ideal has two special generating sets: theuniversal Gr\"obner basis and the Graver basis. While the former is generally aproper subset of the latter, there are cases for which the two sets coincide.The most prominent examples among them are toric ideals of unimodular matrices.Equality of universal Gr\"obner basis and Graver basis is a combinatorialproperty of the toric ideal (or, of the defining matrix), providing interestinginformation about ideals of higher Lawrence liftings of a matrix. Nonetheless,a general classification of all matrices for which both sets agree is far fromknown. We contribute to this task by identifying all cases with equality withintwo families of matrices; namely, those defining rational normal scrolls andthose encoding homogeneous primitive colored partition identities.

Equality of Graver bases and universal Gr\"obner bases of colored partition identities