Projective limits of MV-spaces |
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Authors: | Antonio Di Nola George Georgescu |
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Affiliation: | (1) Istituto di Matematica, Facoltà di Architettura, Università di Napoli, Via Monteoliveto 3, 80134 Napoli, Italia;(2) Institute of Mathematics, Str. Acadiemiei 14, Bucharest, Romania |
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Abstract: | An MV-space is a topological space X such that there exists an MV-algebra A whose prime spectrum Spec A is homeomorphic to X. The characterization of the MV-spaces is an important open problem.We shall prove that any projective limit of MV-spaces in the category of spectral spaces is an MV-space. In this way, we obtain new classes of MV-spaces related to some preservation properties of the Belluce functor. |
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Keywords: | 03B50 06D99 |
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