A Note on AP-Injective Rings
Received:November 24, 2000  
Key Words: AP-injective rings   weakly injective rings   PP-rings.  
Fund Project:Supported by the NNSF of China (10071035) and the Foundation of the Education
Author NameAffiliation
XIAO Guang-shi Dept. of Math.
Nanjing University
Jiangsu
China 
YIN Xiao-bin College of Math. & Computer Science
Anhui Normal University
Wuhu
China 
TONG Wen-ting Dept. of Math.
Nanjing University
Jiangsu
China 
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Abstract:
      The purpose of this paper is to study the following two questions on AP-injective rings: (1) R is a regular ring if and only if R is a left PP-ring and R is left AP-injective; (2) Let R be a right .AP-injective ring. Then R is self-injective if and only if R is weakly injective. Hence we get some new results of P-injective rings.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.02.004
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