推广了对偶的概念与对偶原理的思想，在格论中引入了对偶律，并讨论了与之相关的一些概念和性质。
The dual law in lattice theory is introduced and some concepts and properties relative to it are discussed, while generalizing the concept of duality and the idea of the duality principle.
首先引入矩阵的相似准直和的定义，讨论了它和群逆的关系，得到了一些性质和应用．。
The definition of similar quasi-direct sum of matrix is introduced. Andthe connection with group inverse is discussed. Some properties and applications are obtained.
通过讨论齐次群上的一些性质，从而得到本文的结果。
Through discussing some natures of homogeneous group, we obtained the results of this thesis.
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