The prime and maximal spectra and the reticulation of BL-algebras |
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Authors: | Laurenťiu Leuštean |
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Affiliation: | (1) National Institute for Research and Development in Informatics, 8-10 Averescu Avenue, 71316 Bucharest, 1, Romania |
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Abstract: | In this paper we study the prime and maximal spectra of a BL-algebra, proving that the prime spectrum is a compact T 0 topological space and that the maximal spectrum is a compact Hausdorff topological space. We also define and study the reticulation of a BL-algebra. |
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Keywords: | BL-algebras prime spectrum maximal spectrum reticulation bounded distributive lattices |
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