A variation of δ-lifting and δ-supplemented modules with respect to an equivalence relation
Yazarlar (1)
Doç. Dr. Esra ÖZTÜRK SÖZEN Sinop Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Algebraic Structures and their Applications | ||
| Dergi ISSN | 2423-3447 Dergi Bilgileri (2022) | ||
| Dergi Tarandığı Indeksler | Scopus | ||
| Makale Dili | Türkçe | Basım Tarihi | 01-2022 |
| Cilt / Sayı / Sayfa | 9 / 1 / 69–80 | DOI | 10.29252/as.2021.2334 |
| Makale Linki | http://as.yazd.ac.ir/article_2334_cc375a7be0f47e4352ecf5d55f4ee4bd.pdf | ||
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| In this paper we introduce Goldie∗-δ-supplemented modules as follows. A module M is called Goldie∗-δ-supplemented (briefly, G∗ δ-supplemented) if there exists a δ-supplement T of M for every submodule A of M such that Aβδ∗ T. We say that a module M is called Goldie∗-δ-lifting (briefly, G∗ δ-lifting) if there exists a direct summand D of M for every submodule A of M such that Aβδ∗ D. Note that the last concept given in [4] as a δ-H-supplemented module. We present fundamental properties of these modules. We indicate that these modules lie between δ-lifting and δ-supplemented modules. Also we prove that our modules coincide with some variations of δ-supplemented modules for δ-semiperfect modules.© 2022 Yazd University. |
| Anahtar Kelimeler |
| Goldie | δ-lifting module | δ-supplemented module∗-δ-supplemented module |
| Atıf Sayıları | |
| Scopus | 1 |
| Google Scholar | 1 |