… As a generalization of the usual local cohomology modules, Takahashi, Yoshino and
Yoshizawa [6] introduced the local cohomology modules with respect to a pair of ideals (I,J). To be …

… -zero finitely generated R−module. We investigate the top local cohomology module HdimM
… We get some results about attached prime ideals of the local cohomology module HdimM I,J …

… The local cohomology theory has been an significant tool in … cohomology modules, Takahashi
et al. [Citation18], introduced the local cohomology modules with respect to a pair of ideals…

… In this direction, we study the local cohomology modules with respect to a pair of ideals
by the notion of Serre subcategory. One of the main results of this paper (Theorem 2.1) is a …

… Let M be a finite R-module and I an ideal of R. … local cohomology modules, Takahashi,
Yoshino and Yoshizawa [31], introduced local cohomology modules with respect to a pair of ideals…

… concept of formal local cohomology introduced by Schenzel. In order to do this we will need
to use the notion of the local cohomology module with respect to a pair of ideals. That notion …

… ΓI,J(−)) coincides with the ordinary local cohomology module Hi … local cohomology with
respect to a pair of ideals. As a consequence, we find that if M is a finitely generated module over …

… extension functors of local cohomology modules with respect to a pair of ideals by using the
notion … of R-modules satisfying the condition CI and M be a finitely generated R-module. The …

… is the ordinary local cohomology functor when J = 0 (see [3]). … the study of a dual of ordinary
local cohomology modules … result to local cohomology modules defines by a pair of ideals. …

… study extension functors of local cohomology modules with respect to a pair of ideals. Let S
be … local cohomology modules and local cohomology modules with respect to a pair of ideals. …