On UR-Rings
Received:March 20, 2007  Revised:November 22, 2007
Key Word: clean rings   $G$-clean rings   regular rings   $(S,2)$-rings   UR-rings.  
Fund ProjectL:the National Natural Science Foundation of China (No.0571026); the Natural Science Foundation of Jiangsu Province (No.2005207).
Author NameAffiliation
YING Zhi Ling Department of Mathematics, Southeast University, Jiangsu 210096, China 
CHEN Jian Long Department of Mathematics, Southeast University, Jiangsu 210096, China 
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Abstract:
      A ring is said to be UR if every element can be written as the sum of a unit and a regular element. These rings are shown to be a unifying generalization of regular rings, clean rings and $(S,2)$-rings. Some relations of these rings are studied and several properties of clean rings and $(S,2)$-rings are extended. Ring extensions of UR-rings are also investigated.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.02.020
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