On the structure of artinian-by-(finite rank) modules over generalized soluble groups
Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank), if $\mathrm{Tor}_R(A)$ is artinian and $A/\mathrm{Tor}_R(A)$ has finite R-rank. In this paper modules A over a group ring ${\mathbb{Z}}_{p^{\infty}}G$ such that $A/C_A(H)$ is artinian-by-(finite rank) (as an ${\mat...
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| Format: | Article |
| Language: | English |
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Oles Honchar Dnipro National University
2014-08-01
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| Series: | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika |
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| Online Access: | https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/25 |