We study their properties and endomorphism rings, and obtain some properties of the Jacobson radical of such rings.
我们讨论了伪内射模与主伪内射模的性质及其自同态环,并得到了自同态环的Jacobson根的若干性质。
Finally, the endomorphism ring of radical-projective modules is discussed.
本文给出了根投射模的一些等价刻划,例如,证明了一个根投射模是投射模的充要条件是它有投射覆盖;并利用根投射模得到了遗传环的一个特征性质;最后对根投射模的自同态环进行了讨论。
By matrix technique,it is shown that the ring of endomorphisms of a projective module P of rank n can be expressed as S=Y T Mm(R) X,where(X,Y) is a m-projective basis couple.
文中借助于矩阵计算方法,证明了轶为n的投射R-模P的自同态环可以表示为S=YTMm(R)X,其中(X,Y)为P的一个m-基耦,还证明了P是自由R-模当且仅当Rn*P作为Mn(R)-模是循环模,当且仅当Rn*P≠∪i(Rn*P)Mi,其中Mi取遍S的极大左理想。
endomorphism ring of an abelian variety
阿贝耳簇的自同态环
The Matrix Techniques on Finitely Generated Projective Modules and Rings of Their Endomorphisms;
有限生成投射模及其自同态环的矩阵方法
THE RELATION BETWEEN THE DIRECT SUMMANDS OF AN ADDITIVE GROUP (G) AND THE DIRECT SUMMANDS OF End G
加法群的直和项与其自同态环的直和项间的关系
THE REPRESENTATIONS OF MATRIX OF ENDOMORPHISM RING OF FINITELY GENERATED ABEL GROUPS
具有有限生成元的阿贝尔群的自同态环的矩阵表示
It gets some results about the relation between the direct summands of an additive group and the summands of the endomorphism ring of this additive group.
得到了关于加法群的直和项与其自同态环的直和项间相互刻画的一些结论。
Endomorphisms of the Cohomology Ring of Generalized Grassmannians;
广义Grassmann流形的上同调环的自同态
A homomorphism that maps a mathematical set into itself.
自同态一数学集映入自身的同态
Comparative Proteome of Different Ecotypes of Reed (Phragmites Communis Trin.) Adapted to Natural Droght and Saline Habitats;
不同生态型芦苇适应自然干旱和盐渍环境的比较蛋白质组学研究
Model Reference Adaptive Control for Dynamically Synchronized Feed between Two Linear Servo Position Loops;
直线伺服双位置环动态同步进给的模型参考自适应控制
Discussion on Academic Ecological Environment on the basis of Natural Ecological Environment;
从自然生态环境谈大学学术生态环境
Influences of Environmental Gradients on Plant Functional Groups Dynamics and Ecophysiological Characteristics of Quercus Acutidentata Forest in the Funiu Mountain Nature Reserve;
伏牛山自然保护区不同环境梯度下锐齿栎林植物功能群动态与生理生态特性研究
spontaneously fissible isomer
自发裂变同质异能态
The Historical Evolution of Men s Attitude to the Nature and the Ecological Environment;
人对自然态度的历史嬗变与生态环境
However, natural visional elements and original living environment differ from our cognition;
然而,自然的视觉元素和生命状态与生存环境磨擦所产生的认识是不同的。
The Congruence,Morphism on the Finite State Automata and the Transformation Moniod;
有限状态自动机和变换幺半群的同余、同态
Automorphisms of Finite Groups Inducing Inner Autormorphisms of Integral Group Rings
诱导整群环上内自同构的有限群的自同构
A ring homomorphism f: A→B is finite.
环同态f：A→B叫做有限型的。
Pea Nodulation Characteristics under Different Ecological Environment
不同生态环境条件下豌豆的结瘤状况