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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We consider homological finiteness properties $FP_n$ of certain$\mathbb{N}$-graded Lie algebras. After proving some general results, seeTheorem A, Corollary B and Corollary C, we concentrate on a family that can beconsidered as the Lie algebra version of the generalized Bestvina-Brady groupsassociated to a graph $\Gamma$. We prove that the homological finitenessproperties of these Lie algebras can be determined in terms of the graph in thesame way as in the group case. In the last version we have corrected somemissprints, in particular the statement of Theorem D (from $n-1$-acyclicity to$n-1 - |w|$-acyclicity).

Coabelian ideals in $\mathbb{N}$-graded Lie algebras and applications to right angled Artin Lie algebras