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It is shown that the lower radical construction of Tangeman and Kreiling need not terminate at any ordinal.
1.Gardner, B. J., Radical theory (Pitman Research Notes in Mathematics, 198, Longman, 1989).Google Scholar
2
2.Krempa, J., Lower radical properties for alternative rings, Bull. Acad. Polon. Sci.23 (1975), 139–142.Google Scholar
3
3.Kurosh, A. G., Radicals in the theory of groups, Sibirsk. Mat. Zh.3 (1962), 912–931 (Russian); Colloq. Math. Soc. János Bolyai 6 (1971), 271–296.Google Scholar
5.Shchukin, K. K., On the theory of radicals in groups, Sibirsk. Mat. Zh.3 (1962), 932–934 (Russian).Google Scholar
6
6.Sulinski, A., Anderson, T. and Divinsky, N., Lower radical properties for associative and alternative rings, J. London Math. Soc.41 (1966), 417–424.CrossRefGoogle Scholar
7
7.Tangeman, R. L. and Kreiling, D., Lower radicals in non-associative rings, J. Austral. Math. Soc.14 (1972), 419–423.Google Scholar