Fuzzy maximal ideals of pseudo MV-algebras

• Autorzy: Dymek G.
• Języki publikacji: EN

Abstrakty

EN

The notion of fuzzy maximal ideals of a pseudo MV-algebra is introduced, and its characterizations are established.

Słowa kluczowe

EN

pseudo MV-algebra; fuzzy (maximal) ideal

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2007
• Tom: Vol. 47, [Z] 1
• Strony: 31--46
• Opis fizyczny: bibliogr. 9 poz.

Twórcy

autor

Dymek G.

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

Bibliografia

• [1] A. Dvurečenskij, States on pseudo MV-algebras, Studia Logica 68 (2001), 301-327.
• [2] G. Dymek, Fuzzy prime ideals of pseudo MV-algebras, Soft Computing, 2007 (on- line).
• [3] G. Dymek and A. Walendziak, Semisimple, Archimedean and semilocal pseudo MV-algebras, Sci. Math. Jpn., to appear.
• [4] G. Georgescu and A. Iorgulescu, Pseudo MV-algebras, Multi. Val. Logic 6 (2001), 95-135.
• [5] C. S. Hoo and S. Sessa, Fuzzy maximal ideals of BCI and MV-algebras, Inform. Sci. 80 (1994), 299-309.
• [6] Y. B. Jun and A. Walendziak, Fuzzy ideals of pseudo MV-algebras, Inter. Rev. Fuzzy Math. 1 (2006), 21-31.
• [7] J. Rachunek, A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273.
• [8] A. Walendziak, On implicative ideals of pseudo MV-algebras, Sci. Math. Jpn. 62 (2005), 281-287; e-2005, 363-369.
• [9] L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353.