Title :
Completions in Subvarieties of BL-Algebras
Author :
Busaniche, Manuela ; Cabrer, Leonardo Manuel
Author_Institution :
Inst. de Mat. Aplic. del Litoral-FIQ, CONICET-UNL, Santa Fe, Argentina
Abstract :
In the present paper we extend the results of cite{BuCa} by completely characterizing dual canonical subvarieties of BL-algebras. These are subvarieties of algebras that satisfy the equation $x^k=x^{k+1}$ for some integer $kge 1$. As a corollary we get a full description of subvarieties of BL-algebras that admit completions.
Keywords :
Algebra; Fuzzy logic; Integral equations; Iron; Lattices; Logic functions; Upper bound;
Conference_Titel :
Multiple-Valued Logic (ISMVL), 2010 40th IEEE International Symposium on
Conference_Location :
Barcelona, Spain
Print_ISBN :
978-1-4244-6752-5
DOI :
10.1109/ISMVL.2010.24