Open AccessCongruence Relations on Lattice Implication Algebras
Author(s) -
Yi Liu,
Yang Xu,
Ya Qin,
Chengxi Liu
Publication year - 2011
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v3n2p17
Subject(s) - mathematics , permutable prime , congruence (geometry) , congruence lattice problem , lattice (music) , congruence relation , pure mathematics , algebra over a field , distributive lattice , geometry , physics , distributive property , acoustics
Lattice implication algebra is an important logic algebra, congruence relations is one of important contents in it. The basic properties and the structures of general congruence relations on lattice implication algebras are discussed; The results that a lattice implication algebra is congruence-permutable is obtained.