On ideals of residuated lattices
XU Luo-shan · Journal of Shandong University · 2010
The ideals in residuated lattice are studied.Some properties of ideals are given,and a congruence relation is structured based on the notion of ideals in residuated lattice.It is proved that the quotient algebra of a residuated lattice under this congruence relation is also a residuated lattice.Some characterization theories of ideals in regular residuated lattice are obtained.