Geodesic
Truth Filters in de Morgan Lattices
Publications de l'Institut Mathématique, _N_S_28 (1980) no. 42, p. 25
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In this paper Stone-type theorems on existence of truth filters in De Morgan lattices are obtained. It is shown that $(^*)\cdots(a\wedge T)\cap T_0=\emptyset$ is necessary and sufficient for existence of a truth filter containing {\bf a}, where $T_0$ and $T_1$ are sets of zeroes and units. Also, it is proved that the filter $F$ is contained in a truth filter iff for each member {\bf a} of $F$ holds $(^*)$. Some other related results are proved, too. 
@article{PIM_1980_N_S_28_42_a3,
     author = {Milan Bo\v{z}i\'c},
     title = {Truth {Filters} in de {Morgan} {Lattices}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {25 },
     year = {1980},
     volume = {_N_S_28},
     number = {42},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1980_N_S_28_42_a3/}
}
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Milan Božić. Truth Filters in de Morgan Lattices. Publications de l'Institut Mathématique, _N_S_28 (1980) no. 42, p. 25 . http://geodesic.mathdoc.fr/item/PIM_1980_N_S_28_42_a3/