Generalizations of Nil-Injective Rings
Received:September 13, 2012  Revised:January 13, 2014
Key Words: almost wnil-injective rings   almost nil-injective rings   almost nil $n$-injective rings   nil-injective rings   nil $n$-injective rings.  
Fund Project:Supported by the Doctoral Fund of the Ministry of Education of China (Grant No.200803570003), the College Excellent Young Talents Fund of Anhui Province (Grant No.2013SQRL071ZD).
Author NameAffiliation
Yu-e ZHAO School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China
College of Mathematics, Qingdao University, Shandong 266071, P. R. China 
Xianneng DU School of Mathematical Sciences, Anhui University, Anhui 230601, P. R. China
 
Hits: 2563
Download times: 2467
Abstract:
      The definition of $AP$-injectivity motivates us to generalize the injectivity to almost wnil-injectivity and almost nil $n$-injectivity. The aim of this paper is to investigate characterizations and properties of almost wnil-injective rings and almost nil $n$-injective rings. Various results are developed, and many conclusions extend known results.
Citation:
DOI:10.3770/j.issn:2095-2651.2014.03.003
View Full Text  View/Add Comment