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

• Scientific research bulletin • Previous Articles     Next Articles

Total of Modules and Modules With Zero Total


  1. (Math. Department, Science School, National Univ. of Defense Technology, Changsha 410073, China)
  • Online:2004-03-15 Published:2012-11-06

Abstract: Total of modules contain Jacobson radicals, and Tot ( MR ) + J ( MR ) ?? Tot ( MR ) 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

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