Turkish Journal of Mathematics
DOI
10.3906/mat-1704-4
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.
Keywords
Almost Artinian module, Dedekind domain
First Page
1242
Last Page
1254
Recommended Citation
KURDACHENKO, LEONID A. and TROMBETTI, MARCO
(2018)
"Just non-Artinian modules over some group rings,"
Turkish Journal of Mathematics: Vol. 42:
No.
3, Article 39.
https://doi.org/10.3906/mat-1704-4
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss3/39
