Just non-Artinian modules over some group rings

Authors : Leonid A. Kurdachenko, Marco Trombetti

Pages : 1242-1254

View : 8 | Download : 5

Publication Date : 9999-12-31

Article Type : Makaleler

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