Using maximal ideals in the classification of MV-algebras
Di Nola, Antonio, Liguori, Fortunata, Sessa, Salvatore (1993)
Portugaliae mathematica
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Displaying similar documents to “Radicals in non-commutative generalizations of MV-algebras”
Using maximal ideals in the classification of MV-algebras
Connections between ideals of non-commutative generalizations of -algebras and ideals of their underlying lattices
Jiří Rachůnek (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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.
Generalizations of pseudo MV-algebras and generalized pseudo effect algebras
Jan Kühr (2008)
Czechoslovak Mathematical Journal
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We deal with unbounded dually residuated lattices that generalize pseudo -algebras in such a way that every principal order-ideal is a pseudo -algebra. We describe the connections of these generalized pseudo -algebras to generalized pseudo effect algebras, which allows us to represent every generalized pseudo -algebra by means of the positive cone of a suitable -group . We prove that the lattice of all (normal) ideals of and the lattice of all (normal) convex -subgroups of...
Preboolean MV-algebras as bipartite MV-algebras.
Carmela Cella, Ada Lettieri (1992)
Stochastica
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In this note we characterize bipartite MV-algebras by introducing the notion of preboolean MV-algebras.
BL-algebras of basic fuzzy logic.
Esko Turunen (1999)
Mathware and Soft Computing
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BL-algebras [Hajek] rise as Lindenbaum algebras from certain logical axioms familiar in fuzzy logic framework. BL-algebras are studied by means of deductive systems and co-annihilators. Duals of many theorems known to hold in MV-algebra theory remain valid for BL-algebras, too.