Modules That Have a Weak Supplement in Every Cofinite Extension
Yazarlar (3)
Hamza Çalışıcı
Ondokuz Mayıs Üniversitesi, Türkiye
Dr. Öğr. Üyesi Emine ÖNAL KIR
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale) | ||
| Dergi Adı | Palestine Journal of Mathematics | ||
| Dergi ISSN | 2219-5688 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ZentralBlatt Math | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2015 |
| Cilt / Sayı / Sayfa | 4 / 1 / – | DOI | – |
| Makale Linki | https://pjm.ppu.edu/sites/default/files/papers/13%20%20%20amsthdoc.pdf | ||
| Özet |
| We say that over an arbitrary ring a module M has the property (CWE)(respectively,(CWEE)) if M has a weak supplement (respectively, ample weak supplements) in every cofinite extension. We show that if every submodule of a module M has the property (CWE) then M has the property (CWEE). A ring R is semilocal iff every left R-module has the property (CWE). We also prove that over a commutative Von-Neumann regular ring R, an R-module M has the property (CWE) iff M is cofinitely injective. |
| Anahtar Kelimeler |