Geodesic
On the Adjoint Group of a Radical Ring
Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 262-270

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1995-039-2
Mots-clés : 16N20, 20F19 
Amberg, Bernhard. On the Adjoint Group of a Radical Ring. Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 262-270. doi: 10.4153/CMB-1995-039-2
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[1] 1. Amberg, B., Franciosi, S. and de Giovanni, F., Products of groups, Oxford University Press, 1992. Google Scholar

[2] 2. Lambek, J., Lectures on Rings and Modules, Blaisdell Publ. Co., 1966. Google Scholar

[3] 3. Robinson, D. J. S., Finiteness Conditions and Generalized Soluble Groups, Springer-Verlag, Berlin, Heidelberg, New York, 1972. Google Scholar

[4] 4. Sysak, Y. P., Products of infinite groups, Akad. Nauk. Ukrainy, Inst. Mat. Kiev, Preprint 82.53 (1982) (Russian) Google Scholar

[5] 5. Szász, F., On the Idealizerofa Subring, Monatsh. Math. 75(1971), 65–68. Google Scholar

[6] 6. Watters, J. F., On the adjoint group of a radical ring, J. London Math. Soc. 43(1968), 725–729. Google Scholar

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