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

In [F. Xu, On the cohomology rings of small categories, J. Pure Appl. Algebra212 (2008), 2555-2569], Xu constructs a LHS-spectral sequence for targetregular extensions of small categories. We extend this construction toext-groups and construct a similar spectral sequence for source regularextensions (with right module coefficients). As a special case of theseLHS-spectral sequences, we obtain three different versions of Slominska'sspectral sequence for the cohomology of regular EI-categories. We show thatmany well-known spectral sequences related to the homology decompositions offinite groups, centric linking systems, and the orbit category of fusionsystems can be obtained as the LHS-spectral sequence of an extension.

LHS-spectral sequences for regular extensions of categories