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/

Zendy Plus

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

Zendy Tools

Zendy Open

Analogues of Eakin-Sathaye theorem for reductions of ideals are proved for${\mathbb N}^s$-graded good filtrations. These analogues yield bounds on jointreduction vectors for a family of ideals and reduction numbers for $\mathbbN$-graded filtrations. Several examples related to lex-segment ideals,contracted ideals in $2$-dimensional regular local rings and the filtration ofintegral and tight closures of powers of ideals in hypersurface rings areconstructed to show effectiveness of these bounds.

Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals