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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
ASCII Text
x 
 
Sergiu Rudeanu, Dan A. Simovici, "On the Ranges of Algebraic Functions in Lattices - A Preliminary Report," Multiple-Valued Logic, IEEE International Symposium on, pp. 7, 36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006.
 
 
BibTex
x
 
@article{ 10.1109/ISMVL.2006.32,
author = {Sergiu Rudeanu and Dan A. Simovici},
title = {On the Ranges of Algebraic Functions in Lattices - A Preliminary Report},
journal ={Multiple-Valued Logic, IEEE International Symposium on},
volume = {0},
year = {2006},
issn = {0195-623X},
pages = {7},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2006.32},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Multiple-Valued Logic, IEEE International Symposium on
TI - On the Ranges of Algebraic Functions in Lattices - A Preliminary Report
SN - 0195-623X
SP
EP
A1 - Sergiu Rudeanu,
A1 - Dan A. Simovici,
PY - 2006
KW - null
VL - 0
JA - Multiple-Valued Logic, IEEE International Symposium on
ER -
 
Sergiu Rudeanu, University of Bucharest, Romania
Dan A. Simovici, Univ. of Massachusetts, Boston
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
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