@Article{CMR-30-1, author = {Yan, Gu}, title = {Cofiniteness of Local Cohomology Modules with Respect to a Pair of Ideals}, journal = {Communications in Mathematical Research }, year = {2014}, volume = {30}, number = {1}, pages = {33--40}, abstract = {

Let $R$ be a commutative Noetherian ring, $I$ and $J$ be two ideals of $R$, and $M$ be an $R$-module. We study the cofiniteness and finiteness of the local cohomology module $H^i_{I,J} (M)$ and give some conditions for the finiteness of Hom$_R(R/I, H^s_{ I,J} (M))$ and Ext$^1_R(R/I, H^s_{I,J} (M))$. Also, we get some results on the attached primes of $H^{{\rm dim}M}_{I,J} (M)$.

}, issn = {2707-8523}, doi = {https://doi.org/2014-CMR-18985}, url = {https://global-sci.com/article/81736/cofiniteness-of-local-cohomology-modules-with-respect-to-a-pair-of-ideals} }