模的Total 根以及零Total 的模

journal6 ›› 2004, Vol. 25 ›› Issue (1): 87-88.

模的Total 根以及零Total 的模

( 国防科技大学理学院数学系, 湖南长沙410073)

出版日期:2004-03-15 发布日期:2012-11-06
作者简介:朴志会( 1979- ) , 辽宁省葫芦岛市人, 国防科技大学理学院数学系硕士研究生, 主要从事代数结构及其应用研究.

Total of Modules and Modules With Zero Total

(Math. Department, Science School, National Univ. of Defense Technology, Changsha 410073, China)

Online:2004-03-15 Published:2012-11-06

摘要/Abstract

摘要：模的Total 根包含模的Jacobson 根, 并且满足Tot(M_R)+J( M_R ) Tot(M_R) . 特别的零Total 的模是一个半素模, 零Total 的模类是一个弱特别模类, 从而零Total 的环类为弱特别环类, 其上根为超级幂零根.

关键词： Total, 幂等元, 弱特别类

Abstract: Total of modules contain Jacobson radicals, and Tot ( M_R ) + J ( M_R) ?? Tot ( M_R) for a right R- module. In particular, a module with zero Total is a semiprime module and the class of such modules is a weakly special class. So the class of rings with zero Total is a weakly special class and the upper radical of this class is a supernilpotent radical.

Key words: Total, idempotent, weakly special class

朴志会, 冯良贵. 模的Total 根以及零Total 的模[J]. journal6, 2004, 25(1): 87-88.

PIAO Zhi-Hui, FENG Liang-Gui. Total of Modules and Modules With Zero Total[J]. journal6, 2004, 25(1): 87-88.