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Modules over group rings of soluble groups with a certain condition of maximality

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Central European Journal of Mathematics

Abstract

Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G (A) = 1 and A/C A (G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A (H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.

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Authors and Affiliations

  1. Department of Mathematics, University of Dnepropetrovsk, Prospekt Gagarina 72, Dnepropetrovsk 10, 49010, Ukraine

    Olga Yu. Dashkova

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  1. Olga Yu. Dashkova
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Correspondence to Olga Yu. Dashkova.

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Dashkova, O.Y. Modules over group rings of soluble groups with a certain condition of maximality. centr.eur.j.math. 9, 922–928 (2011). https://doi.org/10.2478/s11533-011-0033-z

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  • DOI: https://doi.org/10.2478/s11533-011-0033-z

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