Modules that have a δ-supplement in every extension
Yazarlar (2)
Doç. Dr. Esra ÖZTÜRK SÖZEN Ondokuz Mayıs Üniversitesi, Türkiye
Prof. Dr. Şenol Eren Ondokuz Mayıs Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | ||
| Dergi ISSN | 1307-5543 | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2017 |
| Cilt / Sayı / Sayfa | 10 / 4 / 730–738 | DOI | – |
| Makale Linki | https://www.ejpam.com/index.php/ejpam/article/view/3024 | ||
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| Let R be a ring and M be a left R-module. In this paper, we define modules with the properties (δ-E) and (δ-EE), which are generalized version of Zoschinger's modules with the properties (E) and (EE) , and provide various properties of these modules. We prove that the class of modules with the property (δ-E) is closed under direct summands and finite direct sums.It is shown that a module M has the property (δ-EE) if and only if every submodule of M has the property (δ-E). It is a known fact that a ring R is perfect if and only if every left R-module has the property (E). As a generalization of this, we also prove that a ring R is δ-perfect if and only if every left R-module has the property (δ-E). |
| Anahtar Kelimeler |
| Supplement | delta-supplement | delta-perfect ring | delta-semiperfect ring | module extension |
