Abstract:
Let
$R$
be a commutative Noetherian ring with identity and
$I,J$
two ideals of
$R.$
We introduce the concept of
$(I,J)$-coweakly Laskerian modules and study their properties
concerning to local cohomology modules with respect to a pair of ideals.
We also study
some properties of the local
cohomology modules with support contained in
$\mathrm{Max}(R)$
and
the relationships on the weakly Artinianness of the modules
$H^i_{I,J}(M)$
and
$H^i_I(M)$.
