Direct decompositions of artinian modules related to formations of groups

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Authors: Kurdachenko, L. A., Otal, J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155279
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Direct decompositions of artinian modules related to formations of groups / L.A. Kurdachenko, J. Otal // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 68–76. — Бібліогр.: 13 назв. — англ.

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