Commutative rings whose ideals form an MV-algebra

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Mathematical Logic Quarterly 55 (5):468-486 (2009)
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Abstract

In this work we introduce a class of commutative rings whose defining condition is that its lattice of ideals, augmented with the ideal product, the semi-ring of ideals, is isomorphic to an MV-algebra. This class of rings coincides with the class of commutative rings which are direct sums of local Artinian chain rings with unit

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10.1002/malq.200810012

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Citations of this work

BL-rings.O. A. Heubo-Kwegna, C. Lele, S. Ndjeya & J. B. Nganou - 2018 - Logic Journal of the IGPL 26 (3):290-299.

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