p-torsion模的性质  

Properties of p-torsion Module

作　　者：邢建民[1] 李秀丽[1] 

机构地区：[1]青岛科技大学数理学院,山东青岛266061

出　　处：《青岛科技大学学报（自然科学版）》2010年第1期100-102,共3页Journal of Qingdao University of Science and Technology:Natural Science Edition

摘　　要：给出了p-torsion模的定义,并利用同调的方法讨论了p-torsion模的性质,目的是找到p-torsion模构成torsion类的条件以及构造p-torsionfree类,并最终找到了一个p-torsionfree类与投射维类的关系。The definition of the p-torsion module is given and the properties of P-torsion modules are discussed by homological method. The purpose of this paper is finding the condition in which P-torsion modules form a torsion class and how to form the corresponding torsionfree class. At last, the relation between P-torsionfree class and projective dimensions is obtained.

关 键 词：投射模 -torsion模 φ-torsion模 预包络 完备环 局部环 

分 类 号：O153[理学—数学]