On maximal ideals of pseudo MV-algebras

• Autorzy: Dymek G. , Walendziak A.
• Języki publikacji: EN

Słowa kluczowe

EN

pseudo MV-algebra; ideal; maximal (implicative) ideal

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2007
• Tom: Vol. 47, [Z] 1
• Strony: 117--126
• Opis fizyczny: bibliogr. 9 poz.

Twórcy

autor

Dymek G.

autor

Walendziak A.

• Institute of Mathematics and Physics, University of Podlasie 3 maja 54, 08-110 Siedlce, Poland,

Bibliografia

• [1] R. Ambrosio and A. Lettieri, A classification of bipartite MV-algebras, Math. Japonica 38 (1993), 111-117.
• [2] C. C. Chang, Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490.
• [3] A. Di Nola, F. Liguori and S. Sessa, Using maximal ideals in the classification of MV-algebras, Port. Math. 50 (1993), 87-102.
• [4] A. Dvureˇcenskij, States on Pseudo MV-algebras, Studia Logica 68 (2001), 301-327.
• [5] G. Georgescu and A. Iorgulescu, Pseudo-MV algebras, Multi. Val. Logic. 6 (2001), 95-135.
• [6] C. S. Hoo, MV-algebras, ideals and semplicity, Math. Japon. 34 (1989), 563-583.
• [7] J. Rachunek, A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273.
• [8] J. Rachunek, Radicals in non-commutative generalizations of MV-algebras, Math. Slovaca 52 (2002), 135-144.
• [9] A. Walendziak, On implicative ideals of pseudo MV-algebras, Sci. Math. Jpn. 62 (2005), 281-287; e-2005, 363-369.