Z[i]上矩阵范畴中态射的研究  

Discussion about Morphism of Matrix Category in Gauss Integral Domain

作　　者：黄明湛[1] 刘守宗[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《山西师范大学学报（自然科学版）》2010年第1期25-27,共3页Journal of Shanxi Normal University(Natural Science Edition)

摘　　要：本文就高斯整数环Z[i]上矩阵范畴MZ[i]中态射的性质的转化形式进行讨论.首先给出MZ[i]中满态射、单态射的等价条件,然后利用该等价条件给出MZ[i]及MZ上相关态射合成以及满单分解之间的关系.In this paper,the means of transformation of the properties of morphisms of matrix category in Gauss integral domain is given.Firstly the equivalent conditions of epimorphism and monomorphism in this matrix category is discussed,and then the relationship of epic-monic factorization and composite of related morphisms in matrix category in Gauss integral domain and integral domain with the equivalent conditions are studied.

关 键 词：高斯整数环 满态射 单态射 满单分解 

分 类 号：O154.1[理学—数学]