On ss-Lifting Baer Modules
Yazarlar (1)
Dr. Öğr. Üyesi Emine ÖNAL KIR
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Honam Mathematical Journal | ||
| Dergi ISSN | 1225-293X Wos Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2025 |
| Cilt / Sayı / Sayfa | 47 / 2 / 1–12 | DOI | 10.5831/HMJ.2025.47.2.152 |
| Makale Linki | https://hmj.honammath.or.kr/ | ||
| Özet |
| This paper presents a novel generalization that includes both Baer modules and ss-lifting modules. We name a module W as ss-lifting Baer provided right annihilator of a left ideal I of the endomorphism ring of W, rW (I) lies above a direct summand X of W such that the factor module rW (I)/X is a semisimple module. In addition, we introduce the concepts rs-supplemented and amply rs-supplemented modules as new generalizations of supplemented modules which are widely studied in module theory. The paper discusses various algebraic characteristics of these modules. We demonstrate that the endomorphism ring of an sslifting Baer module is an ss-lifting Baer ring. Furthermore, we investigate the connections of ss-lifting Baer modules with lifting Baer modules and Baer modules. |
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