Displaying similar documents to “Using maximal ideals in the classification of MV-algebras”

Axiomatizing quantum MV-algebras.

Roberto Giuntini (1997)

Mathware and Soft Computing

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We introduce the notion of p-ideal of a QMV-algebra and we prove that the class of all p-ideals of a QMV-algebra M is in one-to-one correspondence with the class of all congruence relations of M.

Integral closure in MV-algebras.

L. Peter Belluce (2000)

Mathware and Soft Computing

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We study the consequences of assuming on an MV-algebra A that Σnx exists for each x belonging to A.

Maximal MV-algebras.

Alexandru Filipoiu, George Georgescu, Ada Lettieri (1997)

Mathware and Soft Computing

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In this paper we define maximal MV-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal MV-algebra is semilocal, then we characterize a maximal MV-algebra as finite direct product of local maximal MV-algebras.