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W-Groups and Near-Ring Modules

Published online by Cambridge University Press:  20 November 2018

Gordon Mason
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Abstract

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W-groups are treated in the more general context of near-ring modules. It is shown that they share properties of d.g. modules with respect to central series. In particular, results of Magomaev are obtained and used to show that the group-theoretic and module-theoretic central series coincide for W-groups.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 2 , June 1975 , pp. 241 - 244
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Beidleman, J., On near-rings and near-ring modules, Doctoral Thesis, The Pennsylvania State University, 1961.Google Scholar
2. Hall, P., The Edmonton Notes on Nilpotent Groups, Queen Mary College, London, 1969.Google Scholar
3. Magomaev, H., On the theory of W-groups I (Russian) Isv. Vyss. Ucebn. Zaved. Matematika, No. 1 (104) (1971) 45-52.Google Scholar
4. Mason, G., Solvable and nilpotent near-ring modules, Proc. Amer. Math. Soc. 40 (1973) 351-357.Google Scholar