Just non-Artinian modules over some group rings | Zendy

Leonid A. Kurdachenko | Zendy; Marco Trombetti | Zendy

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Just non-Artinian modules over some group rings

Author(s) -

Leonid A. Kurdachenko,

Marco Trombetti

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1704-4

Subject(s) - mathematics , abelian group , pure mathematics , group (periodic table) , spectrum (functional analysis) , algebra over a field , discrete mathematics , chemistry , organic chemistry , physics , quantum mechanics

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.

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