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Algebra and Discrete Mathematics, 2003, Issue 1, Pages 68–76
(Mi adm369)
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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
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
Citation:
Leonid A. Kurdachenko, Javier Otal, “Direct decompositions of artinian modules related to formations of groups”, Algebra Discrete Math., 2003, no. 1, 68–76
Linking options:
https://www.mathnet.ru/eng/adm369 https://www.mathnet.ru/eng/adm/y2003/i1/p68
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