Geodesic
On sums of radical and regular rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 71-75.

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We find conditions which ensure that a ring is adjoint regular provided that it is a sum of a radical subring with an adjoint regular subring. We also provide a criterion of adjoint regularity for a ring which is a sum of its radical and a regular subring. 
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M. V. Volkov; G. V. Tanana. On sums of radical and regular rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 71-75. http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a5/

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