TY - JOUR
T1 - Cofiniteness of Local Cohomology Modules with Respect to a Pair of Ideals
AU - Gu , Yan
JO - Communications in Mathematical Research 
VL - 1
SP - 33
EP - 40
PY - 2021
DA - 2021/05
SN - 30
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/18985.html
KW - local cohomology, cofinite module, attached prime.
AB - <p style="text-align: justify;">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 $H^{{\rm&nbsp;dim}M}_{I,J} (M)$.</p>