New Laws For Lattices And Special Lattices

Firstly, in this paper, we introduced lattice theory and the equivalent definitions of lattices and special lattices. Secondly I present my recently result in lattice theory particular in equivalent definitions of lattices and special lattices, it contained mainly new laws for lattices, Two laws for distributive lattices, two laws for modular lattices and two laws for modular lattices with unit element.The best result present in this paper is: Single identity for lattices of length 29 with 8 variables, Two identities for distributive lattices of length 20 with 5 variables, Two identities for modular lattices of length 28 with6 variables, Two identities for distributive lattices with unit element of length 39 with 5 variables, Two identities for distributive lattices with unit element of length 39 with 5 variables, Two identities for modular lattices with unit element of length 35 with 5 variables, and our study confirmed that these identities are closely related.