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 construct a minimal free resolution of the semigroup ring k[C] in terms ofminimal resolutions of k[A] and k[B] when <C> is a numerical semigroup obtainedby gluing two numerical semigroups <A> and <B>. Using our explicitconstruction, we compute the Betti numbers, graded Betti numbers, regularityand Hilbert series of k[C], and prove that the minimal free resolution of k[C]has a differential graded algebra structure provided the resolutions of k[A]and k[B] possess them. We discuss the consequences of our results in smallembedding dimensions. Finally, we give an extension of our main result tosemigroups in N^n

The structure of the minimal free resolution of semigroup rings obtained by gluing