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    Georgescu, George Leuştean, Laurenţiu and Mureşan, Claudia 2010. Maximal residuated lattices with lifting boolean center. Algebra universalis, Vol. 63, Issue. 1, p. 83.
    Belluce, L. P. Nola, Antonio Di and Sessa, Salvatore 1994. The Prime Spectrum of an MV-Algebra. Mathematical Logic Quarterly, Vol. 40, Issue. 3, p. 331.
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Subalgebras, direct products and associated lattices of MV-algebras

  • L. P. Belluce (a1), A. Di Nola (a2) and A. Lettieri (a2)
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MV-algebras were introduced by C. C. Chang [3] in 1958 in order to provide an algebraic proof for the completeness theorem of the Lukasiewicz infinite valued propositional logic. In recent years the scope of applications of MV-algebras has been extended to lattice-ordered abelian groups, AF C*-algebras [10] and fuzzy set theory [1].

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COPYRIGHT: © Glasgow Mathematical Journal Trust 1992
References
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1.Belluce, L. P., Semisimple algebras of infinite valued logic and bold fuzzy set theory, Canad. J. Math., 38 (1986), 1356–1379.
2.Belluce, L. P., A. Di Nola and A. Lettieri, On some lattices quotients of MV-Algebras, Ricerche di Matemat. 39 (1990), 41–59.
3.Chang, C. C., Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467–490.
4.Chang, C. C., A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74–80.
5.Cignoli, R., Complete and atomic algebras of the infinite-valued Lukasiewicz logic, unpublished paper.
6.Cignoli, R., Nola, A. Di and Lettieri, A., Priestley duality and quotient lattices of many-valued algebras, Rend. Circ. Matem. Palermo, to appear.
7.Hoo, C. S., Mv-algebras, ideals and semisimplicity, Math. Japon 34 (1989), 563–583.
8.Swany, U. Maddana and Rajn, D. Viswanadha, A note on maximal ideal spaces of distributive lattices, Bull. Calcutta Math. Soc., 80 (1988) 84–90.
9.Martinez, N. G., Priestley duality for Wajesberg algebras, Studia Logica, 49 (1990), 31–46.
10.Mundici, D., Interpretation of AF C*-algebras in Lukasiewicz sentential calculus, J. Functional Analysis 65 (1986) 15–63.
11.Rodriguez, A. J., Un estudio algebraico de los calculos proposicionales de Lukasiewicz, thesis, Universidad de Barcelona, 1980.
12.Romanoskwa, A. and Traczyk, T., On commutative BCK-algebras, Math. Japon 25 (1980), 567–583.
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Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
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