Cofinitely F-supplemented modules
Sao Paulo Journal of Mathematical Sciences, cilt.18, ss.142-148, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18
- Basım Tarihi: 2023
- Doi Numarası: 10.1007/s40863-023-00388-2
- Dergi Adı: Sao Paulo Journal of Mathematical Sciences
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.142-148
- Anahtar Kelimeler: F-supplement submodule, Cofinitely F-suplemented module
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
Let M be a module, and let U, V, F be submodules of M with F proper. We say
V is an F-supplement of U in M if it is minimal in the collection of submodules
F ⊆ X ⊆ M such that M = U + X . If every cofinite submodule of M has an (ample)
F-supplement, then we call M a (amply) cofinitely F-supplemented module. We give
some general properties of these modules, and we characterize them in terms of
their certain submodules.