In some finiteness conditions , we prove that there exists a natural abelian group homomorphism from the grothendieck group of r to the grothendieck group of a . in particular , the homomorphism is splitting if p is quasi - n - tilting 在適當的有限性條件下,我們證明了一個從r的grothendieck群到a的orothendieck群的自然的阿貝爾群同態。
By using the theory of finite fields , the relationship of module operation among difference matrices of a mixed difference matrix is generalized to that of group homomorphism . a new concept of normal mixed difference matrix is proposed . the relationship between normal mixed difference matrix and the construction of orthogonal arrays is discovered ?利用有限域理論,把不同水平差集矩陣之間的取模運算關系推廣為更加廣泛的群同態關系,提出了標準混合差集矩陣的概念,找到了標準混合差集矩陣和混合水西安電子科技大學博士學位論文:正交表的構造方法及其應用平正交表的構造之間的關系,提出了利用標準混合差集矩陣構造正交表的方法且構造了一些新的正交表