Roughness of Filters in Lattice Implication Algebras
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.
Lexicographic product of extendable graphs.
Ultra -ideals in lattice implication algebras
We define an ultra -ideal of a lattice implication algebra and give equivalent conditions for an -ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ultra -ideal.
Independence number and minimum degree for the existence of -critical graphs.
Intersection preserving and global expansions of subalgebras and filters in lattice implication algebras.
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