Characterization Theorem of Lattice Implication Algebras

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	Similar Articles Articles by Michiro Kondo

34th International Symposium on Multiple-Valued Logic (ISMVL'04)

University of Toronto, Toronto, Canada

May 19-May 22

ISBN: 0-7695-2130-4

	ASCII Text	x
	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	x
	@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

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2004.1319951

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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