Geodesic
Derivations and Translations on Trellises
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 129-136

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G. Szász, J. Szendrei, K. Iseki and J. Nieminen have made an extensive study of derivations and translations on lattices. In this paper, the concepts of meet-translations and derivations have been studied in trellises (also called weakly associative lattices or WA-lattices) and several results in lattices are extended to trellises. The main theorem of this paper, namely, that every derivatrion of a trellis is a meet-translation, is proved without using associativity and it generalizes a well-known result of G. Szász.
Classification : 06B05
Keywords: Psoset; trellis; ideal; meet-translation; derivation 
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Rai, Shashirekha B.; Parameshwara Bhatta, S. Derivations and Translations on Trellises. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 129-136. http://geodesic.mathdoc.fr/item/AUPO_2015__54_1_a9/