JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 33-37.doi: 10.6040/j.issn.1671-9352.0.2014.166

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EP-injectivity and von Neumann regularity of rings

LU Qi1, YIN Xiao-bin2, BAO Hong-wei1   

  1. 1. Department of Mathematics and Physics, Bengbu College, Bengbu 233000, Anhui, China;
    2. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2014-04-21 Online:2014-10-20 Published:2014-11-10

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Abstract: Some equivalent definitions of EP-injective rings are given. An example is given to show that EP-injective ring needs not be GP-injective. We prove that assume that R is semiperfect and left EP-injective. If Soc(RR) is essential in RR, then R is left and right Kasch.

Key words: P-injective ring, EP-injective ring, von-Neumann regular, GP-injective ring

CLC Number: 

  • O153.3
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[1] LU Qi, BAO Hong-wei. ZWGP-injectivity and nonsingularity of rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 19-23.
[2] LU Qi1, BAO Hong-wei1, LIANG Liang2. WGP-injectivity of rings#br# [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(06): 35-39.
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