International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 469725, 7 pages
doi:10.1155/2008/469725
AGQP-injective modules.
Zhanmin Zhu1
and Xiaoxiang Zhang2
1Department of Mathematics, Jiaxing University, Jiaxing, Zhejiang 314001, China
2Department of Mathematics, Southeast University, Nanjing 210096, China
Abstract
Let R be a ring and let M be a right R-module with S = End(MR). M is called almost general quasi-principally injective (or AGQP-injective for short) if, for any 0≠s∈S, there exist a positive integer n and a left ideal Xsn of S such that sn≠0 and lS(Ker(sn))=Ssn⊕Xsn. Some characterizations and properties of AGQP-injective modules are given, and some properties of AGQP-injective modules with additional conditions are studied.