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

Let $R=\oplus_{n\in \N_0}R_n$ be a standard graded ring, $M$ be a finitelygenerated graded $R$-module and $R_+:=\oplus_{n\in \N}R_n$ denotes theirrelevant ideal of $R$. In this paper, considering the new concept of linkageof ideals over a module, we study the graded components $H^i_{\fa}(M)_n$ when$\fa$ is an h-linked ideal over $M$. More precisely, we show that$H^i_{\fa}(M)$ is tame in each of the following cases: \begin{itemize}  \item [(i)] $i=f_{\fa}^{R_+}(M)$, the first integer $i$ for which$R_+\nsubseteq \sqrt{0:H^i_{\fa}(M)}$;  \item [(ii)] $i=\cd(R_+,M)$, the last integer $i$ for which$H^{i}_{R_+}(M)\neq 0$, and $\fa=\fb+R_+$ where $\fb$ is an h-linked ideal with$R_+$ over $M$. \end{itemize} Also, among other things, we describe thecomponents $H^i_{\fa}(M)_n$ where $\fa$ is radically h-$M$-licci with respectto $R_+$ of length 2.

Graded local cohomology modules with respect to the linked ideals