DocumentCode :
3170239
Title :
FCG-projective modules and some rings
Author :
Zhu, Zhanmin
Author_Institution :
Dept. of Math., Jiaxing Univ., Jiaxing, China
fYear :
2011
fDate :
8-10 Aug. 2011
Firstpage :
5029
Lastpage :
5031
Abstract :
A module MR is called FCG-projective if ExtR1(M, A) = 0 for every finitely cogenerated right R-module A. A ring R is called right co-hereditary if every factor module of a finitely cogenerated injective right R-module is injective. Some characterizations of FCG-projective modules, right co-hereditary rings and right V-rings are given. FCG-projective dimensions of modules are defined, and FCG-projective dimensions of modules over right co-notherian rings are studied.
Keywords :
algebra; FCG-projective module; cogenerated injective right R-module; right co-hereditary ring; right co-notherian ring; Electronic mail; Mathematics; System-on-a-chip; FCG-projective module; V-ring. 2010 Mathematics subject classification: 16D40, 16E10, 16E60; co-noetherian ring; cohereditary ring;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), 2011 2nd International Conference on
Conference_Location :
Deng Leng
Print_ISBN :
978-1-4577-0535-9
Type :
conf
DOI :
10.1109/AIMSEC.2011.6010401
Filename :
6010401
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3170239
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