Turkish Journal of Mathematics
DOI
10.3906/mat-1302-47
Abstract
Let R be a ring and G a group. An R-module A is said to be Artinian-by-(finite rank) if Tor_R(A) is Artinian and A/ Tor_R(A) has finite R-rank. We study a module A over a group ring RG such that A/C_A(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
First Page
52
Last Page
59
Recommended Citation
KURDACHENKO, LEONID ANDREEVICH; SUBBOTIN, IGOR YAKOV; and CHUPORDYA, VASILIY ANATOLIEVICH
(2014)
"On the structure of some modules over generalized soluble groups,"
Turkish Journal of Mathematics: Vol. 38:
No.
1, Article 6.
https://doi.org/10.3906/mat-1302-47
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss1/6
