投射模

Im（s），则tS∈sS。在第二章中，我们引进了纯投射模，并且研究了纯投射模的性质，讨论了它与纯稳定自由模之间的联系。

Im ( s ), then tS C sS for all s , t ∈ S.In the second chapter , the author introduce pure projective module , and discuss the relations between pure projective module and pure stably free module .

作为投射模的向量空间

The Vector Space As A Projective Module

当r是左右∏凝聚环时，给出每个f.g.自反模是投射模的一个充分条件。

When R is left and right Π coherent ring , a sufficient condition which every f. g. reflexive module is projective is given .

本文证明了若半∑准投射模是弱n满投射的，则其自同态环的稳定秩至多为n，从而部分推广了文献[3]的&个主要结果。

We prove that the endomorphism ring of semi - ∑ - quasi-projective module P has stable range at most n provided P is weakly n-epi-projective . Consequently , we partially generalize a main result in [ 3 ] .

对交换环定义了广义PF环的概念，即一切具有常数秩的有限生成投射模都为自由模的交换环。

A generalization of PF rings relative to commutative rings : rings all finitely generated projective modules with constant rank of which are free is defined .

上三角矩阵Artin代数上Gorenstein投射模的构造

The Construction of Gorenstein Projective Modules over Upper Triangular Matrix Artin Algebras

ZIF环上有限生成投射模的自同态环

Endomorphism Rings of Finitely Generated Projective Modules over ZIF Rings

本文运用投射模的分解理论，通过计算同调不变量ToTm~（？）（Z，Z）来研究代数K&理论中非常重要的切除问题。

In this paper , the author , using the resolution theory of projective modules , studies the important excision problem in algebraic K-theory by calculating the homological invariant Tor_m ~ A ( Z , Z ) .

在QF环上讨论了强模的性质，用Gorenstein投射模刻画了QF环。

Finally , it discussed the properties of strong module in QF rings , and characterized QF rings by virtue of Gorenstein projective modules .

一类其R-投射模是投射的环（Ⅱ）

Rings over which all R - projective modules are projective (ⅱ)

半∑准投射模自同态环的稳定秩

Stable Range of Endomorphism Rings of Semi ∑ Quasi Projective Modules

最后对根投射模的自同态环进行了讨论。

Finally , the endomorphism ring of radical-projective modules is discussed .

f-投射模的直积和正向极限

Direct Product and Direct Limit of f - projective Modules

环的约化群与群环上的投射模

Reduced Groups of Rings and Projective Modules over Group Rings

用直投射模刻划完全环和半完全环

Characterizations of Perfect Rings and Semiperfect Rings Using Direct-projective Modules

给出了I-投射模的定义及M是I-投射模的等价条件，讨论了I-投射维数、整体I-投射维数等相关性质。

The definition of I-projective module and I-projective dimension are introduced and characterized .

关于有限生成投射模为自由模的环

Rings in which finitely generated projective modules are free

关于投射模的一般自由补

On the generic free complements of projective modules

关于极大投射模、PFP-模和H-有限生成模

On Max-projective 、 PFP-module and H-finitely Generated Module

关于有限生成投射模的进一步结果

Further Results on Finitely Generated Projective Modules

关于伪投射模的若干讨论

Some Discussions of the Pseudo-projective Modules

包含投射模的几乎可裂序列

Almost Split Sequence Containing Projective Module

伪投射模的特征

Characterizations of pseudo - projective modules

多项式环上的投射模

Projective Module Over Polynomial Ring

遗传环上的投射模

Projective Modules over Hereditary Rings

投射模的局部化特征

Local characterizations of projective modules

FCG-投射模和FCGP-环

FCG-projective Modules and FCGP-rings

引进了拟主投射模的概念，给出了它们相关性质，由此对弱投射模进行了新的刻画。

It has introduced that quasi-principally projective modules , and get some new characterizations of weakly projective modules .

本文刻划了包含投射模的几乎可裂序列，给出以投射模为首项和中间项的几乎可裂序列的特性。

We describe the properties of the almost split sequence containing projective module as the first term and the middle term .

本文给出并证明了右遗传、右完备环上投射模的对偶模仍然是投射模。

This Paper gives and proves the dual module of a projective module over aright hereditary and right perfect ring is stil projective .