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Radicals and semisimple classes of Ω-groups

Published online by Cambridge University Press:  20 January 2009

Rainer Mlitz
Rainer Mlitz
Affiliation:
Institut für Angewandte MathematikTU WienA-1040 WienGusshausstr. 27–29
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In this paper radicals in the sense of Kuroš and Amitsur (KA-radicals) for Ω-groups will be studied. For the sake of simplicity these radicals will be considered on varieties, the results remaining valid for more general classes.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 23 , Issue 1 , February 1980 , pp. 37 - 41
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

REFERENCES

(1) Divinsky, N. J., Rings and radicals (G. Allen & Unwin Ltd., Univ. of Toronto Press, London/Toronto, 1965).Google Scholar
(2) Hoehnke, H.-J., Radikale in allgemeinen Algebren, Math. Nachr. 32 (1966), 347–383.CrossRefGoogle Scholar
(3) Holcombe, M. and Walker, R., Radicals in categories—Proc. Edinburgh Math. Soc. 21 (1978), 111–128.CrossRefGoogle Scholar
(4) Leavitt, W. G. and Armendariz, E. P., Nonhereditary semisimple classes, Proc. Amer. Math. Soc. 18 (1967), 1114–1117.CrossRefGoogle Scholar
(5) van Leeuwen, L. C. A., Roos, C. and Wiegandt, R., Characterizations of semisimple classes, J. Austral. Math. Soc. 23 (1977), 172–182.CrossRefGoogle Scholar
(6) Leavitt, W. G. and Wiegandt, R., Torsion theory for not necessarily associative rings, Rocky Mountain J. Math. 9 (1979), 259–272.CrossRefGoogle Scholar
(7) van Leeuwen, L. C. A. and Wiegandt, R., Radicals, semisimple classes and torsion theories, (manuscript).Google Scholar
(8) Wiegandt, R., Radical and semisimple classes of rings, Queen's Papers in pure and applied Math. 37 (Queen's University, Kingston, 1974).Google Scholar