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Abstrakty
We introduce the notions of a positive implicative LI-ideal and an associative LI-ideal in a lattice implication algebra and discuss some of their properties. Connections to related classes are investigated and equivalent conditions for both a positive implicative LI-ideal and an associative LI-ideal are provided.
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Tom
Strony
67--74
Opis fizyczny
Bibliogr. 14 poz.
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autor
autor
autor
autor
- Mathematics and Informatics Research Group, ACECR, Tarbiat Modares University, P.O. Box: 14115-343, Tehran, Iran., sajad.mokhtari@gmail.com
Bibliografia
- [1] D.W. Borns, J.M. Mack, An Algebraic Introduction to Mathematical Logic, Springer, Berlin, 1975.
- [2] Y.B. Jun, Implicative filters of lattice implication algebras, Bull. Korean Math. Soc. 34:193-198, 1997.
- [3] Y. B. Jun, On LI-ideals and prime LI-ideals of lattice implications algebras, Korean Math. Soc. 36: 369-380, 1999.
- [4] Y.B. Jun, Y. Xu and K.Y. Qin, Positive implicative and associative filters of lattice implication algebras, Bull. Korean Math. Soc. 35:53-61, 1998.
- [5] Y. B. Jun, E. H. Roh and Y. Xu, LI-ideals in lattice implication algebras, Bull Korean Math Soc, 35: 13-24, 1998.
- [6] J. Liu, Studying on the structure of lattice implication algebra, Southwest Jiaotong Univ, 1996 (in Chinese).
- [7] J. Liu and Y. Xu, On the prime filters and decomposition theorem of lattice implication algebras, Fuzzy Math, 6: 1001-1008, 1998.
- [8] J. Liu and Y. Xu, Filters and structure of lattice implication algebra, Chinese Sci. Bull. 42:1517-1520, 1997.
- [9] Y. L. Liu, S. Y. Liu, Y. Xu and K.Y. Qin, ILI-ideals and prime LI-ideals in lattice implication algebras, Information Sciences, 105: 157-175, 2003.
- [10] Y. Xu, Lattice implication algebra, Journal of Southwest Jiaotong university, 28: 20-27 (in Chinese), 1993.
- [11] Y. Xu and K. Y. Qin, On filters of lattice implication algebras, Fuzzy Math, 1: 251-260, 1993.
- [12] Y. Xu, D. Ruan, K.Y Qin and J. Liu, Lattice-Valued Logic, Springer-Verlag, 2003.
- [13] Y. Xu, D. Ruan, K.Y, Qin, J. Liu, Lattice-Valued Logic, Springer, Berlin, in press.
- [14] H. Zhu, Studing on the filters and ideals of lattice implication algebra, Southwest Jiaotong Univ, (in Chinese), 2005.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA7-0039-0018