Martyn Russell DIXON, Leonid Andreevich KURDACHENKO, İgor Yakov SUBBOTIN

139151

On composition factors in modules over some group rings

The aim of this paper is to prove the following result: Let G be an FC-hypercentral group and let A have a finite FG-composition series. Then A contains two FG-submodules B,C such that A = B ⊕ C, where each FG-composition factor of B has finite F -dimension and each FG-composition factor of C has infinite F -dimension. Thishasconsequencesfor FG-modules whose proper submodules all have finite F -dimensionandforthose FG-modules whose proper quotients all have finite F -dimension.

Keywords:

FC-hypercentral, module, FG-composition series simple FG-module, quasifinite module, just infinite dimensional module,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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