DocumentCode :
2175784
Title :
Weakly AGP-injective rings
Author :
Zhu, Zhanmin
Author_Institution :
Dept. of Math., Jiaxing Univ., Jiaxing, China
fYear :
2011
fDate :
9-11 Sept. 2011
Firstpage :
2387
Lastpage :
2389
Abstract :
A ring R is called right Weakly AGP-injective or right WAGP-injective for short, if for any 0 ≠a ε R there exist b ε R and a left ideal Xab such that ab = ba ≠0 and lr(ab)=Rab ⊕ Xab. In this Article, we mainly investigate properties of right WAGP-injective rings, especially, right WAGP-injective rings satisfying ascending chain conditions on some right annihilator, and right WAGP-injective left noetherian rings are studied respectively. Moreover, left noetherian right GP-injective rings are also investigated.
Keywords :
algebra; set theory; ascending chain conditions; left noetherian right GP injective rings; right WAGP injective left noetherian rings; right WAGP injective rings; right annihilator; right weakly AGP-injective ring; Algebra; Argon; Contracts; Educational institutions; Strontium; Zirconium; 16D50; 16L30; 16P40; 16P60; WAGP-injective rings; noetherian rings. 2010 Mathematics subject classification; perfect rings; semiperfect rings;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Electronics, Communications and Control (ICECC), 2011 International Conference on
Conference_Location :
Ningbo
Print_ISBN :
978-1-4577-0320-1
Type :
conf
DOI :
10.1109/ICECC.2011.6066566
Filename :
6066566
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2175784
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