Rad-⊕-Supplemented Modules
| Autor: | Türkmen Ergül |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 21, Iss 1, Pp 225-237 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1844-0835 2013-0015 |
| DOI: | 10.2478/auom-2013-0015 |
| Popis: | In this paper we provide various properties of Rad-⊕-supplemented modules. In particular, we prove that a projective module M is Rad- ⊕-supplemented if and only if M is ⊕-supplemented, and then we show that a commutative ring R is an artinian serial ring if and only if every left R-module is Rad-⊕-supplemented. Moreover, every left R-module has the property (P*) if and only if R is an artinian serial ring and J2 = 0, where J is the Jacobson radical of R. Finally, we show that every Rad-supplemented module is Rad-⊕-supplemented over dedekind domains. |
| Databáze: | Directory of Open Access Journals |
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