On M-injective and M-projective Modules
Yıl: 2020 Cilt: 8 Sayı: 1 Sayfa Aralığı: 46 - 50 Metin Dili: İngilizce DOI: 10.36753/MATHENOT.630031 İndeks Tarihi: 24-03-2021
On M-injective and M-projective Modules
Öz: A left R-module M is called max-injective (or m-injective for short) if for any maximal left ideal I,any homomorphism f : I → M can be extended to g : R → M, if and only if Ext1R(R/I, M) = 0for any maximal left ideal I. A left R-module M is called max-projective (or m-projective for short)if Ext1R(M, N) = 0 for any max-injective left R-module N. We prove that every left R-module has aspecial m-projective precover and a special m-injective preenvelope. We characterize C-rings, SF ringsand max-hereditary rings using m-projective and m-injective modules.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | alagöz y (2020). On M-injective and M-projective Modules. , 46 - 50. 10.36753/MATHENOT.630031 |
| Chicago | alagöz yusuf On M-injective and M-projective Modules. (2020): 46 - 50. 10.36753/MATHENOT.630031 |
| MLA | alagöz yusuf On M-injective and M-projective Modules. , 2020, ss.46 - 50. 10.36753/MATHENOT.630031 |
| AMA | alagöz y On M-injective and M-projective Modules. . 2020; 46 - 50. 10.36753/MATHENOT.630031 |
| Vancouver | alagöz y On M-injective and M-projective Modules. . 2020; 46 - 50. 10.36753/MATHENOT.630031 |
| IEEE | alagöz y "On M-injective and M-projective Modules." , ss.46 - 50, 2020. 10.36753/MATHENOT.630031 |
| ISNAD | alagöz, yusuf. "On M-injective and M-projective Modules". (2020), 46-50. https://doi.org/10.36753/MATHENOT.630031 |
| APA | alagöz y (2020). On M-injective and M-projective Modules. Mathematical Sciences and Applications E-Notes, 8(1), 46 - 50. 10.36753/MATHENOT.630031 |
| Chicago | alagöz yusuf On M-injective and M-projective Modules. Mathematical Sciences and Applications E-Notes 8, no.1 (2020): 46 - 50. 10.36753/MATHENOT.630031 |
| MLA | alagöz yusuf On M-injective and M-projective Modules. Mathematical Sciences and Applications E-Notes, vol.8, no.1, 2020, ss.46 - 50. 10.36753/MATHENOT.630031 |
| AMA | alagöz y On M-injective and M-projective Modules. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 46 - 50. 10.36753/MATHENOT.630031 |
| Vancouver | alagöz y On M-injective and M-projective Modules. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 46 - 50. 10.36753/MATHENOT.630031 |
| IEEE | alagöz y "On M-injective and M-projective Modules." Mathematical Sciences and Applications E-Notes, 8, ss.46 - 50, 2020. 10.36753/MATHENOT.630031 |
| ISNAD | alagöz, yusuf. "On M-injective and M-projective Modules". Mathematical Sciences and Applications E-Notes 8/1 (2020), 46-50. https://doi.org/10.36753/MATHENOT.630031 |
