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Baer and Quasi-Baer Modules over Some Classes of Rings
| Content Provider | Semantic Scholar |
|---|---|
| Author | Haily, Abdelfattah Rahnaou, Hamid |
| Copyright Year | 2011 |
| Abstract | We study Baer and quasi-Baer modules over some classes of rings. We also introduce a new class of modules called AI-modules, in which the kernel of every nonzero endomorphism is contained in a proper direct summand. The main results obtained here are: (1) A module is Baer iff it is an AI-module and has SSIP. (2) For a perfect ring R, the direct sum of Baer modules is Baer iff R is primary decomposable. (3) Every injective R-module is quasi-Baer iff R is a QI-ring. |
| Starting Page | 375 |
| Ending Page | 384 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.5666/KMJ.2011.51.4.375 |
| Volume Number | 51 |
| Alternate Webpage(s) | http://ocean.kisti.re.kr/downfile/volume/kyupu/GBDHBF/2011/v51n4/GBDHBF_2011_v51n4_375.pdf |
| Alternate Webpage(s) | https://doi.org/10.5666/KMJ.2011.51.4.375 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |