Acta mathematica scientia,Series A

• Articles • Previous Articles     Next Articles

On Projectives over Radical Total Rings

Feng Lianggui; Piao Zhihui   

  1. Department of Mathematics and System Science, National University of Defense Technology, Changsha 410073
  • Received:2005-12-15 Revised:2006-09-22 Online:2007-06-25 Published:2007-06-25
  • Contact: Feng Lianggui

Abstract: The decomposition theorems on projective modules over radical total rings are built in this paper. For a total free ring R with u.dimRR<, it is showed that R is Noetherian with gldimR1, and any projective module P over R is isomorphic to iIRei, in which each ei is a nonzero idempotent in R.
Some examples are also given.

Key words: Radicaltotal ring, Decomposition, Total, Idempotent

CLC Number: 

  • 16E50
Trendmd