Abstract
A ring A is a completely integrally closed right A-module if and only if the maximal right ring of quotients Q max(A) of A is an injective right A-module and A is a right completely integrally closed subring in Q max(A). A right Noetherian, right integrally closed ring A is a completely integrally closed right A-module.
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References
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 8, pp. 213–228, 2009.
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Tuganbaev, A.A. Completely integrally closed modules and rings. J Math Sci 171, 296–306 (2010). https://doi.org/10.1007/s10958-010-0134-4
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DOI: https://doi.org/10.1007/s10958-010-0134-4