δ-Small Submodules and δ-Supplemented Modules
Let R be a ring and M a right R-module. It is shown that (1) δ(M) is Noetherian if and only if M satisfies ACC on δ-small submodules; (2) δ(M) is Artinian if and only if M satisfies DCC on δ-small submodules; (3) M is Artinian if and only if M is an amply δ-supplemented module and satisfies DCC on...
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| Autore principale: | |
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| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
Wiley
2007-01-01
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| Serie: | International Journal of Mathematics and Mathematical Sciences |
| Accesso online: | http://dx.doi.org/10.1155/2007/58132 |
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