RESEARCH ARTICLE

Direct decompositions of artinian modules related to formations of groups

Leonid A. Kurdachenko^a, Javier Otal<sup>b

a</sup> Department of Algebra, Facultet of mathematics and mechanik, University of Dnepropetrovsk, Vulycia Naukova 13, Dnepropetrovsk 50 49050, Ukraine
^b Departamento de Algebra Facultad de Ciencias Universidad de Zaragoza Pedro Cerbuna 12 50009 Zaragoza, SPAIN

Abstract: We survey direct decompositions of artinian modules over group rings into two summands where all the chief factors of the first are $\mathfrak{X}$–central and all the chief factors of the other is $\mathfrak{X}$–eccentric, where $\mathfrak{X}$ is a certain formation of finite groups.

Keywords: decompositions, artinian modules, formation of groups.

MSC: 20C07, 20D10, 20F24

Received: 23.10.2002

Language: English

Bibliographic databases:

• 
•