Turkish Journal of Mathematics
Abstract
Let $D$ be a Dedekind domain and $G$ be a periodic Abelian-by-finite group. In this paper we study $DG$-modules in which every factor-module, apart from the trivial one, is $DG$-Artinian. In particular we prove that such modules cannot be $D$-periodic and that $G$ must be subject to some restrictions. Finally, we give a detailed description of such modules when $G$ is periodic Abelian and the spectrum of $D$ is infinite.
DOI
10.3906/mat-1704-4
Keywords
Almost Artinian module, Dedekind domain
First Page
1242
Last Page
1254
Recommended Citation
KURDACHENKO, L. A, & TROMBETTI, M (2018). Just non-Artinian modules over some group rings. Turkish Journal of Mathematics 42 (3): 1242-1254. https://doi.org/10.3906/mat-1704-4
