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Algebra and Discrete Mathematics, 2003, Issue 1, Pages 68–76 (Mi adm369)  
RESEARCH ARTICLE

Direct decompositions of artinian modules related to formations of groups

Leonid A. Kurdachenkoa, Javier Otalb

a 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
Full-text PDF (165 kB)
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.
Received: 23.10.2002
Bibliographic databases:
Document Type: Article
MSC: 20C07, 20D10, 20F24
Language: English
Citation: Leonid A. Kurdachenko, Javier Otal, “Direct decompositions of artinian modules related to formations of groups”, Algebra Discrete Math., 2003, no. 1, 68–76
Citation in format AMSBIB
\Bibitem{KurOta03}
\by Leonid~A.~Kurdachenko, Javier~Otal
\paper Direct decompositions of artinian modules related to formations of groups
\jour Algebra Discrete Math.
\yr 2003
\issue 1
\pages 68--76
\mathnet{http://mi.mathnet.ru/adm369}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2051639}
\zmath{https://zbmath.org/?q=an:1164.20303}
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