Abstract
Let A be a right invariant ring. If A is a diagonalizable ring or an exchange Bezout ring, then B + r(M) = r(M/MB) for every finitely generated right A-module M and any ideal B of the ring A.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 21, No. 2, pp. 253–256, 2016.
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Tuganbaev, A.A. Bezout Rings, Annihilators, and Diagonalizability. J Math Sci 237, 329–331 (2019). https://doi.org/10.1007/s10958-019-4159-z
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DOI: https://doi.org/10.1007/s10958-019-4159-z