Commutative rings whose ideals form an MV-algebra

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 A...

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Veröffentlicht in:	Mathematical logic quarterly 2009-10, Vol.55 (5), p.468-486
Hauptverfasser:	Belluce, Lawrence P., Nola, Antonio Di
Format:	Artikel
Sprache:	eng
Schlagworte:	commutative rings MV-algebras
Online-Zugang:	Volltext
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