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34th International Symposium on Multiple-Valued Logic (ISMVL'04)
Characterization Theorem of Lattice Implication Algebras
University of Toronto, Toronto, Canada
May 19-May 22
ISBN: 0-7695-2130-4
ASCII Text
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Michiro Kondo, "Characterization Theorem of Lattice Implication Algebras," Multiple-Valued Logic, IEEE International Symposium on, pp. 257-260, 34th International Symposium on Multiple-Valued Logic (ISMVL'04), 2004.
 
 
BibTex
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@article{ 10.1109/ISMVL.2004.1319951,
author = {Michiro Kondo},
title = {Characterization Theorem of Lattice Implication Algebras},
journal ={Multiple-Valued Logic, IEEE International Symposium on},
volume = {0},
year = {2004},
issn = {0195-623X},
pages = {257-260},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2004.1319951},
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 - Characterization Theorem of Lattice Implication Algebras
SN - 0195-623X
SP257
EP260
A1 - Michiro Kondo,
PY - 2004
KW - null
VL - 0
JA - Multiple-Valued Logic, IEEE International Symposium on
ER -
 
Michiro Kondo, Tokyo Denki University
In this paper we show the characterization theorem of lattice implication algebras. The algebras are presented by Xu ([5]) in 1993. Our theorem means that the class of all lattice implication algebras coincides with the class of all bounded commutative BCKalgebras. Hence lattices implication algebras are categorically equivalent to MV-algebras and to Wajsberg algebras.
Citation:
Michiro Kondo, "Characterization Theorem of Lattice Implication Algebras," ismvl, pp.257-260, 34th International Symposium on Multiple-Valued Logic (ISMVL'04), 2004
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