ON A NEW VARIATION OF INJECTIVE MODULES
Yıl: 2019 Cilt: 68 Sayı: 1 Sayfa Aralığı: 702 - 711 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.464103 İndeks Tarihi: 19-11-2020
ON A NEW VARIATION OF INJECTIVE MODULES
Öz: In this paper, we provide various properties of GE and GEEmodules, a new variation of injective modules. We call M a GE-module if ithas a g-supplement in every extension N and, we call also M a GEE-moduleif it has ample g-supplements in every extension N. In particular, we provethat every semisimple module is a GE-module. We show that a module M isa GEE-module if and only if every submodule is a GE-module. We study thestructure of GE and GEE-modules over Dedekind domains. Over Dedekinddomains the class of GE-modules lies between W S-coinjective modules andZˆschingerís modules with the property (E). We also prove that, if a ring Ris a local Dedekind domain, an R-module M is a GE-module if and only ifM = (R)n K N, where R is the completion of R, K is injective and Nis a bounded module.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | PANCAR A, NİŞANCITÜRKMEN B, Nebiyev C, Türkmen E (2019). ON A NEW VARIATION OF INJECTIVE MODULES. , 702 - 711. 10.31801/cfsuasmas.464103 |
| Chicago | PANCAR Ali,NİŞANCITÜRKMEN BURCU,Nebiyev Celil,Türkmen Ergül ON A NEW VARIATION OF INJECTIVE MODULES. (2019): 702 - 711. 10.31801/cfsuasmas.464103 |
| MLA | PANCAR Ali,NİŞANCITÜRKMEN BURCU,Nebiyev Celil,Türkmen Ergül ON A NEW VARIATION OF INJECTIVE MODULES. , 2019, ss.702 - 711. 10.31801/cfsuasmas.464103 |
| AMA | PANCAR A,NİŞANCITÜRKMEN B,Nebiyev C,Türkmen E ON A NEW VARIATION OF INJECTIVE MODULES. . 2019; 702 - 711. 10.31801/cfsuasmas.464103 |
| Vancouver | PANCAR A,NİŞANCITÜRKMEN B,Nebiyev C,Türkmen E ON A NEW VARIATION OF INJECTIVE MODULES. . 2019; 702 - 711. 10.31801/cfsuasmas.464103 |
| IEEE | PANCAR A,NİŞANCITÜRKMEN B,Nebiyev C,Türkmen E "ON A NEW VARIATION OF INJECTIVE MODULES." , ss.702 - 711, 2019. 10.31801/cfsuasmas.464103 |
| ISNAD | PANCAR, Ali vd. "ON A NEW VARIATION OF INJECTIVE MODULES". (2019), 702-711. https://doi.org/10.31801/cfsuasmas.464103 |
| APA | PANCAR A, NİŞANCITÜRKMEN B, Nebiyev C, Türkmen E (2019). ON A NEW VARIATION OF INJECTIVE MODULES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68(1), 702 - 711. 10.31801/cfsuasmas.464103 |
| Chicago | PANCAR Ali,NİŞANCITÜRKMEN BURCU,Nebiyev Celil,Türkmen Ergül ON A NEW VARIATION OF INJECTIVE MODULES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68, no.1 (2019): 702 - 711. 10.31801/cfsuasmas.464103 |
| MLA | PANCAR Ali,NİŞANCITÜRKMEN BURCU,Nebiyev Celil,Türkmen Ergül ON A NEW VARIATION OF INJECTIVE MODULES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.68, no.1, 2019, ss.702 - 711. 10.31801/cfsuasmas.464103 |
| AMA | PANCAR A,NİŞANCITÜRKMEN B,Nebiyev C,Türkmen E ON A NEW VARIATION OF INJECTIVE MODULES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 702 - 711. 10.31801/cfsuasmas.464103 |
| Vancouver | PANCAR A,NİŞANCITÜRKMEN B,Nebiyev C,Türkmen E ON A NEW VARIATION OF INJECTIVE MODULES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 702 - 711. 10.31801/cfsuasmas.464103 |
| IEEE | PANCAR A,NİŞANCITÜRKMEN B,Nebiyev C,Türkmen E "ON A NEW VARIATION OF INJECTIVE MODULES." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68, ss.702 - 711, 2019. 10.31801/cfsuasmas.464103 |
| ISNAD | PANCAR, Ali vd. "ON A NEW VARIATION OF INJECTIVE MODULES". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68/1 (2019), 702-711. https://doi.org/10.31801/cfsuasmas.464103 |
