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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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 1, pp. 71–75, 2003.
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Volkov, M.V., Tanana, G.V. On Sums of Radical and Regular Rings. J Math Sci 128, 3378–3380 (2005). https://doi.org/10.1007/s10958-005-0275-z
- Regular Ring