Subalgebras, direct products and associated lattices of MV-algebras
Glasgow mathematical journal, Tome 34 (1992) no. 3, pp. 301-307

Voir la notice de l'article provenant de la source Cambridge University Press

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].
Belluce, L. P.; Nola, A. Di; Lettieri, A. Subalgebras, direct products and associated lattices of MV-algebras. Glasgow mathematical journal, Tome 34 (1992) no. 3, pp. 301-307. doi: 10.1017/S0017089500008855
@article{10_1017_S0017089500008855,
     author = {Belluce, L. P. and Nola, A. Di and Lettieri, A.},
     title = {Subalgebras, direct products and associated lattices of {MV-algebras}},
     journal = {Glasgow mathematical journal},
     pages = {301--307},
     year = {1992},
     volume = {34},
     number = {3},
     doi = {10.1017/S0017089500008855},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008855/}
}
TY  - JOUR
AU  - Belluce, L. P.
AU  - Nola, A. Di
AU  - Lettieri, A.
TI  - Subalgebras, direct products and associated lattices of MV-algebras
JO  - Glasgow mathematical journal
PY  - 1992
SP  - 301
EP  - 307
VL  - 34
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008855/
DO  - 10.1017/S0017089500008855
ID  - 10_1017_S0017089500008855
ER  - 
%0 Journal Article
%A Belluce, L. P.
%A Nola, A. Di
%A Lettieri, A.
%T Subalgebras, direct products and associated lattices of MV-algebras
%J Glasgow mathematical journal
%D 1992
%P 301-307
%V 34
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008855/
%R 10.1017/S0017089500008855
%F 10_1017_S0017089500008855

[1] 1.Belluce, L. P., Semisimple algebras of infinite valued logic and bold fuzzy set theory, Canad. J. Math., 38 (1986), 1356–1379. Google Scholar | DOI

[2] 2.Belluce, L. P., A. Di Nola and A. Lettieri, On some lattices quotients of MV-Algebras, Ricerche di Matemat. 39 (1990), 41–59. Google Scholar

[3] 3.Chang, C. C., Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467–490. Google Scholar | DOI

[4] 4.Chang, C. C., A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74–80. Google Scholar

[5] 5.Cignoli, R., Complete and atomic algebras of the infinite-valued Lukasiewicz logic, unpublished paper. Google Scholar

[6] 6.Cignoli, R., Nola, A. Di and Lettieri, A., Priestley duality and quotient lattices of many-valued algebras, Rend. Circ. Matem. Palermo, to appear. Google Scholar

[7] 7.Hoo, C. S., Mv-algebras, ideals and semisimplicity, Math. Japon 34 (1989), 563–583. Google Scholar

[8] 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. Google Scholar

[9] 9.Martinez, N. G., Priestley duality for Wajesberg algebras, Studia Logica, 49 (1990), 31–46. Google Scholar | DOI

[10] 10.Mundici, D., Interpretation of AF C*-algebras in Lukasiewicz sentential calculus, J. Functional Analysis 65 (1986) 15–63. Google Scholar | DOI

[11] 11.Rodriguez, A. J., Un estudio algebraico de los calculos proposicionales de Lukasiewicz, thesis, Universidad de Barcelona, 1980. Google Scholar

[12] 12.Romanoskwa, A. and Traczyk, T., On commutative BCK-algebras, Math. Japon 25 (1980), 567–583. Google Scholar

Cité par Sources :