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Goldie Dimension and Chain Conditions for Modular Lattices with Finite Group Actions

Published online by Cambridge University Press:  20 November 2018

Piotr Grzeszczuk  and
Edmund R. Puczyłowski
Piotr Grzeszczuk
Affiliation:
Institute of Mathematics, University of WarsawBiałystok Division Akademicka 2 15-267 Białystok, Poland
Edmund R. Puczyłowski
Affiliation:
Institute of Mathematics, University of WarsawPKIN 00-901 Warsaw, Poland
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Abstract

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A relation between Goldie dimensions of a modular lattice L and its sublattice LG of fixed points under a finite group G of automorphisms of L is obtained. The method used also gives a relation between ACC (DCC) for L and for LG. The results obtained are applied to rings and modules.

Keywords

06C0516A72
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 3 , 01 September 1986 , pp. 274 - 280
Copyright
Copyright © Canadian Mathematical Society 1986

References

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