JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (12): 5-9.doi: 10.6040/j.issn.1671-9352.0.2017.219

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Simple dual Rickart modules

WANG Yong-duo, MA Ya-jun*   

  1. School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, China
  • Received:2017-05-10 Online:2017-12-20 Published:2017-12-22

Abstract: The concept of simple dual Rickart modules is introduced. Its basic properties are studies and it is proved that a ring R is V-ring if and only if every right R-module is simple dual Rickart module.

Key words: simple dual Rickart module, simple-direct-injective module, regular ring, V-ring

CLC Number: 

  • O152.7
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