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On the Adjoint Group of a Radical Ring

Published online by Cambridge University Press:  20 November 2018

Bernhard Amberg  and
Oliver Dickenschied
Bernhard Amberg
Affiliation:
Fachbereich Mathematik, der Universität Mainz, D-55099 Mainz, Germany, e-mail:amberg@mzdmza.zdv.uni-mainz.de, e-mail:dickenschied@mat.mathematik.uni-mainz.de
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Abstract

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The relations between the adjoint group and the additive group of a radical ring and its nilpotency are investigated. It is shown that certain finiteness conditions carry over from the adjoint group to the additive group and that the converse holds for the class of minimax groups.

Keywords

16N2020F19
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 3 , 01 September 1995 , pp. 262 - 270
Copyright
Copyright © Canadian Mathematical Society 1995

References

1. Amberg, B., Franciosi, S. and de Giovanni, F., Products of groups, Oxford University Press, 1992.Google Scholar
2. Lambek, J., Lectures on Rings and Modules, Blaisdell Publ. Co., 1966.Google Scholar
3. Robinson, D. J. S., Finiteness Conditions and Generalized Soluble Groups, Springer-Verlag, Berlin, Heidelberg, New York, 1972.Google Scholar
4. Sysak, Y. P., Products of infinite groups, Akad. Nauk. Ukrainy, Inst. Mat. Kiev, Preprint 82.53 (1982) (Russian)Google Scholar
5. Szász, F., On the Idealizerofa Subring, Monatsh. Math. 75(1971), 65–68.Google Scholar
6. Watters, J. F., On the adjoint group of a radical ring, J. London Math. Soc. 43(1968), 725–729.Google Scholar