When some complement of an exact fully invariant submodule is a direct summand
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.17, sa.07, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 07
- Basım Tarihi: 2024
- Doi Numarası: 10.1142/s1793557124500517
- Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper, we study modules with the property that every exact fully invariant submodule has a complement which is a direct summand. This new class of modules properly contains both of classes of FI-extending modules and C11r-modules (i.e. modules have C11 property for exact submodules). We obtain several module theoretical results including decompositions for the former class of modules.