Title of article :
On the structure of some modules over generalized soluble groups
Author/Authors :
KURDACHENKO, LEONID ANDREEVICH Dnipropetrovsk National University - Department of Algebra and Geometry, Ukraine , SUBBOTIN, IGOR YAKOV National University - Mathematics Department, USA , CHUPORDYA, VASILIY ANATOLIEVICH Dnipropetrovsk National University - Department of Algebra and Geometry, Ukraine
Abstract :
Let R be a ring and G a group. An R -module A is said to be Artinian-by-(finite rank) if TorR(A) is Artinian and A/TorR(A) has finite R -rank. We study a module A over a group ring RG such that A/CA(H) is Artinian-by-(finite rank) (as an R -module) for every proper subgroup H.
Keywords :
Modules , group rings , modules over group rings , generalized soluble groups , radical groups , Artinian modules , generalized radical groups , modules of finite rank
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
