Geodesic
Ultra $LI$-ideals in lattice implication algebras
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 463-468

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We define an ultra $LI$-ideal of a lattice implication algebra and give equivalent conditions for an $LI$-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 $LI$-ideal.
Classification : 03G10, 06B10, 54E15
Keywords: lattice implication algebra; (ultra) $LI$-ideal; finite additive property 
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     author = {Qin, Keyun and Xu, Yang and Jun, Young Bae},
     title = {Ultra $LI$-ideals in lattice implication algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {463--468},
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     volume = {52},
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     mrnumber = {1923253},
     zbl = {1012.03061},
     language = {en},
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Qin, Keyun; Xu, Yang; Jun, Young Bae. Ultra $LI$-ideals in lattice implication algebras. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 463-468. http://geodesic.mathdoc.fr/item/CMJ_2002__52_3_a1/