Abstract
In this chapter we study properties that are strongly related to the lattice structure of MV-algebras. We start by considering relations between the ideals of an MV-algebra A and the ideals of the lattice L(A). A stonean ideal of a bounded distributive lattice L is an ideal generated by complemented elements of L. We shall show that the minimal prime lattice ideals of L(A), as well as the stonean ideals of L(A), are always ideals of A.
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© 2000 Springer Science+Business Media Dordrecht
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Cignoli, R.L.O., D’Ottaviano, I.M.L., Mundici, D. (2000). Lattice-theoretical properties. In: Algebraic Foundations of Many-Valued Reasoning. Trends in Logic, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9480-6_7
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DOI: https://doi.org/10.1007/978-94-015-9480-6_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5336-7
Online ISBN: 978-94-015-9480-6
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