Like happens in the commutative rings with unit and in the bounded distributive lattices, the pure ideals of A are characterized via the closed subsets of the hull-kernel topology of Max A, the space of the maximal ideals of A. Opens and stable opens of Max A coincide. Some classes of MV-algebras are also described in terms of their pure ideals.
The stable topology for MV-algebras / L. P., Belluce; Sessa, Salvatore. - In: QUAESTIONES MATHEMATICAE. - ISSN 1607-3606. - STAMPA. - 23:3(2000), pp. 269-277. [10.2989/16073600009485976]
The stable topology for MV-algebras
SESSA, SALVATORE
2000
Abstract
Like happens in the commutative rings with unit and in the bounded distributive lattices, the pure ideals of A are characterized via the closed subsets of the hull-kernel topology of Max A, the space of the maximal ideals of A. Opens and stable opens of Max A coincide. Some classes of MV-algebras are also described in terms of their pure ideals.File in questo prodotto:
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