PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 28(42), pp. 2532 (1980) 

TRUTH FILTERS IN DE MORGAN LATTICESMilan Bozi\'cMatematicki fakultet, Beograd, YugoslaviaAbstract: In this paper Stonetype 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. Full text of the article:
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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
