Artinianness of Composed Graded Local Cohomology Modules

Canadian mathematical bulletin

Fatemeh Dehghani-Zadeh¹ 

[1] Department of Mathematics, Yazd Branch, Islamic Azad university, Yazd, Iran

关键词: generalized local cohomology;    Artinian;    graded module;   

DOI  :  10.4153/CMB-2016-006-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $R=igoplus_{ngeq0}R_{n}$ be a graded Noetherian ring withlocal base ring $(R_{0}, mathfrak{m}_{0})$ and let$R_{+}=igoplus_{ngt 0}R_{n}$, $M$ and $N$ be finitely generatedgraded $R$-modules and $mathfrak{a}=mathfrak{a}_{0}+R_{+}$ an ideal of $R$. Weshow that $H^{j}_{mathfrak{b}_{0}}(H^{i}_{mathfrak{a}}(M,N))$ and $H^{i}_{mathfrak{a}}(M,N)/mathfrak{b}_{0}H^{i}_{mathfrak{a}}(M,N)$ are Artinian for some $i^{,}s$ and$j^{,}s$ with a specified property, where $mathfrak{b}_{o}$ is an idealof$R_{0}$ such that $mathfrak{a}_{0}+mathfrak{b}_{0}$ is an $mathfrak{m}_{0}$-primary ideal.

【 授权许可】

Unknown