A Generalization of Semiregular Rings
Received:July 12, 2007  Revised:March 08, 2008
Key Words: weak semiregular rings   generalized semiregular rings   generalized weak semiregular rings   $I$-weak semiregular rings.  
Fund Project:the National Natural Science Foundation of China (No.10571085).
Author NameAffiliation
YAN Xing Feng Department of Mathematics, Northwest Normal University, Gansu 730070, China 
LIU Zhong Kui Department of Mathematics, Northwest Normal University, Gansu 730070, China 
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Abstract:
      In this paper, the concept of generalized semiregular rings is extended to generalized weak semiregular rings. Some properties of these rings are studied and some results about semiregular rings and generalized semiregular rings are extended. We also give some equivalent characterizations of $I$-weak semiregular rings.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.06.025
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