36th International Symposium on Multiple-Valued Logic (ISMVL'06) On the Ranges of Algebraic Functions in Lattices - A Preliminary Report Singapore May 17-May 20 ISBN: 0-7695-2532-6
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2006.32
We investigate ranges of ternary algebraic functions in lukasiewicz-Moisil algebras, where we give a characterization of algebraic functions whose ranges are intervals and we retrieve a canonical form of functions over three-element ternary lukasiewicz-Moisil algebras, a result due to Gr. C. Moisil, one of the founders of switching theory [Moi57]. In the second part of this paper we show that in a Noetherian or Artinian lattice distributivity and boundedness are implied by the condition that every algebraic functions has an interval as its range; this is actually a characterization of boundedness and distributivity in the class of lattices that have finite chains.
Citation:
Sergiu Rudeanu, Dan A. Simovici, "On the Ranges of Algebraic Functions in Lattices - A Preliminary Report," ismvl, pp.7, 36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006 Usage of this product signifies your acceptance of the Terms of Use. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||