Geodesic
Intersection Preserving and Global Expansions of Subalgebras and Filters in Lattice Implication Algebras
Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 1
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The notion of (intersection preserving, global) expansions of subalgebras and filters in lattice implication algebras is introduced. Also the notion of σ-primary filters in lattice implication algebras is discussed. The concept of residual division is defined, and related properties are investigated. We show that the homomorphic and inverse image of σ-primary filter are also σ-primary.
Classification : 03G25, 06D05, 06D99. 
@article{BMMS_2006_29_1_a5,
     author = {Young Bae Jun and Yang Xu and Keyun Qin},
     title = {Intersection {Preserving} and {Global} {Expansions} of {Subalgebras} and
        {Filters} in {Lattice} {Implication} {Algebras}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2006},
     volume = {29},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2006_29_1_a5/}
}
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        Filters in Lattice Implication Algebras
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Young Bae Jun; Yang Xu; Keyun Qin. Intersection Preserving and Global Expansions of Subalgebras and
        Filters in Lattice Implication Algebras. Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2006_29_1_a5/