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References
S. A. AMITSUR, A general theory of radicals, II, Radicals in rings and bicategories, Amer.J. Math. 76 (1954), 100–125.
V. A. ANDRUNAKIEVIČ and Ju. M. RJABUHIN, Radicals of algebras and structure theory (Russian), Nauka, Moscow, 1979.
F. CARREAU, Sous-catégories réflexives et la théorie générale des radicaux, Fund. Math. 71 (1971), 223–242.
H.-J. HOEHNKE, Radikale in allgemeinen Algebren, Math. Nachr. 32 (1966), 347–383.
M. HOLCOMBE and R. WALKER, Radicals in categories, Proc. Edinburgh Math. Soc. 21 (1978), 111–128.
J. KREMPA and B. TERLIKOWSKA, Theory of radicals in self-dual categories, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 22 (1974), 367–373.
L. C. A. van LEEUWEN and R. WIEGANDT, Radicals, semisimple classes and torsion theories, Acta Math. Acad. Sci. Hungar. 36 (1980), 37–47.
G. MICHLER, Radikale und Sockel, Math. Ann. 167 (1966), 1–48.
B. MITCHELL, Theory of categories, Academic Press, 1965.
R. MLITZ, Radicals and semisimple classes of Ω-groups, Proc. Edinburgh Math. Soc. 23 (1980), 37–41.
E. G. ŠUL'GEIFER, General theory of radicals in categories (Russian), Mat. Sb. 51 (1960), 487–500.
B. TERLIKOWSKA-OSŁOWSKA, Category with self-dual set of axioms, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 25 (1977), 1207–1214.
B. TERLIKOWSKA-OSŁOWSKA, Radical and semisimple classes of objects in categories with a self-dual set of axioms, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), 7–13.
S. VELDSMAN, A general radical theory in categories, Ph. D. Thesis, University of Port Elizabeth, S. A., 1980.
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Márki, L., Wiegandt, R. (1982). Remarks on radicals in categories. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066898
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DOI: https://doi.org/10.1007/BFb0066898
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