A note on $$ss$$-supplement submodules
Yazarlar (1)
Dr. Öğr. Üyesi Emine ÖNAL KIR
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Turkish Journal of Mathematics (Q2) | ||
| Dergi ISSN | 1300-0098 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2023 |
| Cilt / Sayı / Sayfa | 47 / 2 / 502–515 | DOI | 10.55730/1300-0098.3374 |
| Makale Linki | https://doi.org/10.55730/1300-0098.3374 | ||
| Özet |
| In this paper, we describe ss-supplement submodules in terms of a special class of endomorphisms. Let R be a ring with semisimple radical and P be a projective R−module. We show that there is a bijection between ss-supplement submodules of P and ss-supplement submodules of EndR(P). Moreover, we define radical-s-projective modules as a generalization of projective modules. We prove that every ss-supplement submodule of a projective R−module is radical-s-projective over the ring R with semisimple radical. We show that over SSI -ring R, every radical-s-projective R−module is projective. We provide that over a ring R with semisimple radical, every ss-supplement submodule of a projective R−module is a direct summand if and only if every radical-s-projective R−module is projective. |
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