Ideal Sets Algebra of P-bounded Distributive Lattice Based on Theory of Residual Lattices
WU Hong-bo · Mohu xitong yu shuxue · 2009
The relation between ideal sets algebra of P-finite distributive lattice and residual lattice is studied. It is proved that ideal set algebra becomes residuai lattice if proper implication and corresponding Complement Operators are Selected.The defination of generation ideal and p-bounded distributive lattice are given,based on that and atom of lattice theory. It is prove that ideal set algebra becomes MV algebra and R0 algebra.