On Necessary and Sufficient Conditions of Distributive Lattice
Yuqing Li · Journal of Xi'an Technological University · 2006
On the basis of the fact that lattice is characterized by partial order structure,the paper draws a conclusion through the thinking mode of abstract algebra and a strict logical inference that the distributive law is equal in value to the cancellation law in general lattice.This indicates that the cancellation law is the elementary property of the distributire lattice,and that if the binary operation of the algebric system(A,+,*)satisfies the commutative law,the integral law and the absorption law,then the cancetation law is equal in value to the distributive law.