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The prime and maximal spectra and the reticulation of BL-algebras
Authors:Laurenťiu Leuštean
Affiliation:(1) National Institute for Research and Development in Informatics, 8-10 Averescu Avenue, 71316 Bucharest, 1, Romania
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.
Keywords:BL-algebras    prime spectrum    maximal spectrum    reticulation    bounded distributive lattices
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