Title :
Prime Filters on Residuated Lattices
Author :
Kondo, Michiro ; Turunen, Esko
Author_Institution :
Tokyo Denki Univ., Inzai, Japan
Abstract :
In this short paper we give an affirmative answer to the problem left open in [3], that is, for any residuated lattice, if prime filters and prime filters of the second kind coincide, then must be an MTL-algebra.
Keywords :
group theory; lattice theory; multivalued logic; process algebra; MTL-algebra; affirmative answer; prime filters; residuated lattices; Boolean algebra; Educational institutions; Fuzzy logic; Fuzzy sets; Lattices; System-on-a-chip; MTL-algebra; prime filter; residuated lattice;
Conference_Titel :
Multiple-Valued Logic (ISMVL), 2012 42nd IEEE International Symposium on
Conference_Location :
Victoria, BC
Print_ISBN :
978-1-4673-0908-0
DOI :
10.1109/ISMVL.2012.40
