Commercial Structure Theory, The Super-grid

The theory of hyperalgebra is a very important class of mathematics. Many experts and scholars thorough, painstakingly and systematically investigate it. In this paper we mainly introduce the concepts of multiplication (or addition) extension and transposition. The quotient hyperlattices is constructed, and some properties of quotient hyperlattices is also studied. Moreover the First, Second and Third Isomorphism Theorems have been established.In chapter 1, we simply introduce the background and the present state of the theory of the hyperlattice; for the sake of convenience, we introduce some fundamental knowledge about lattice. In chapter 2, 3 we study the quotient algebras of hyperlattice and the quotient structures of hyperlattice , and some properties of quotient hyperlattices. According to introducing the concepts of multiplication (or addition) extension and transposition, the cosets of hyperlattice is studied and the quotient hyperlattices is constructed. On the basis, we study the transposition of quotient hyperlattices and other properties of quotient hyperlattices. In chapter 4 we study the strong Li-ideals in lattice implication algebra. Some properties of the strong Li-ideals in lattice implication algebra is discussed.