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On Dual Baer Modules
| Content Provider | Semantic Scholar |
|---|---|
| Author | Tütüncü, Derya Keskin Tribak, Rachid |
| Copyright Year | 2010 |
| Abstract | In this note we prove that any ring R is right cosemihereditary if and only if every finitely cogenerated injective right R-module is d-Rickart. Let M be a module. We prove that if M is a dual Baer module with the (D2) condition, then S =E nd R(M ) is a right self-injective ring. We also prove that if M = M1 ⊕ M2 with M2 semisimple, then M is dual Baer if and only if M1 is dual Baer and every simple non-direct summand of M1 does not embed in M2. |
| Starting Page | 261 |
| Ending Page | 269 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S0017089509990334 |
| Alternate Webpage(s) | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6D247A830760A1DBA8ED8942E0124C93/S0017089509990334a.pdf/on_dual_baer_modules.pdf |
| Alternate Webpage(s) | https://doi.org/10.1017/S0017089509990334 |
| Volume Number | 52 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
