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On LI-ideals of lattice implication algebras

Mokhtari S., Kordi A., Moussavi A., Ahmadi A.

Journal of Mathematics and Applications

2010

Vol. 32

67-74

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.

Roughness of filters in lattice implication algebras

Jun Y. B., Xu Y.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

Vol. 52, nr 4

341-352

As a generalization of filters in lattice implication algebras, the notion of rough filters in lattice implication algebras is introduced, and some of their properties are considered.