商超格

On quotient hyperlattices

目的研究超格的商结构。方法利用引入超格的乘法扩张、加法扩张、对换超格等概念,引出超格的陪集。结果构造商超格,在此基础上进一步研究商超格的一些性质。结论乘法扩张、加法扩张、对换超格概念的引入对于商结构研究是有实际意义。

Aim In order to study the quotients structure of hyperlattice. Methods According to introducing the concepts of multiplication （ or addition） extension and transposition, the cosets of hyperlattice and the quotient structures of hyperlattice are studied. Results The quotient hyperlattices is constructed, and some properties of quotient hyperlattices are also studied. Conclusion Introducing the concepts of multiplication （ or addition） extension and transposition is more significant for the quotients structure.