Literature Cited
A. G. Kurosh, "Radicals of rings and algebras," Mat. Sb.,33, No. 1, 13–26 (1953).
A. S. Markovichev, "Heredity of radicals in rings of type (γ, δ)," Algebra Logika,17, No. 1, 33–55 (1978).
A. A. Nikitin, "Heredity of radicals of rings," Algebra Logika,17, No. 3, 303–315 (1978).
A. M. Slin'ko, "Radicals of Jordan rings," Algebra Logika,11, No. 2, 206–215 (1972).
A. Heinicke, "A note on lower radical constructions for associative rings," Can. Math. Bull.,11, No. 1, 23–30 (1968).
I. R. Hentzel and M. Slater, "On the Andrunakiewich Lemma for alternative rings," J. Algebra,27, No. 2, 243–256 (1973).
J. Krempa, "Lower radical properties for alternative rings," Bull. L'Acad. Pol. Sci., Ser. Sci. Math. Astr. Phys.,23, No. 5, 139–143 (1975).
A. Sulinski, T. Anderson, and N. Divinsky, "Lower radical properties for associative and alternative rings," J. London Math. Soc.,41, No. 3, 417–424 (1966).
Additional information
Translated from Algebra i Logika, Vol. 17, No. 5, pp. 596–610, September–October, 1978.
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Nikitin, A.A. Lower radicals of certain classes of rings. Algebra and Logic 17, 392–401 (1978). https://doi.org/10.1007/BF01673827
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DOI: https://doi.org/10.1007/BF01673827