ON THE NOETHERIAN DIMENSION OFARTINIAN GENERALIZED LOCALCOHOMOLOGY MODULES

Abstract

In this note, we first prove some bounds for Noetherian dimension of
Artinian generalized local cohomology modules
H
j
I
(
M,N
)inthecasesof
small levels. Secondly, in the cases of top generalized local cohomology
modules, some bounds of Noetherian dimension for such modules are
given