J4 ›› 2013, Vol. 48 ›› Issue (6): 42-45.

• Articles • Previous Articles     Next Articles

Morita context rings with a pair of zero homomorphism

WANG Xiu-jian1,2, CHENG Zhi1, DU Xian-neng1*   

  1. 1. School of Mathematics Sciences, Anhui University, Hefei 230601, Anhui, China;
    2. School of Applied Mathematics, West Anhui University, Lu’an 237012, Anhui, China
  • Received:2012-09-05 Online:2013-06-20 Published:2013-06-09

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Abstract:

A sufficient and necessary condition that a Morita context ring T is a VNL ring is given by introducing the definition of the pair of partial modules. The properties that Morita Context rings are left Quasi-duo rings, DS rings and left Quasi-morphic rings are also characterized.

Key words:  Morita context ring; VNL-ring; left quasi-duo ring; left quasi-morphic ring

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