Extending modules and generalizations via left exact preradicals
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.17, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17
- Basım Tarihi: 2024
- Doi Numarası: 10.1142/s1793557124500852
- Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Hacettepe Üniversitesi Adresli: Evet
Özet
A module is said to be extending if every submodule is essential in a direct summand of the module. In this paper, we define and investigate in details extending notion and its two generalizations in terms of a left exact preradical in the category of right modules. Our results are based on structural and decomposition properties of these new classes of modules. Examples are included on using special left exact preradicals.