Cofinitely F-supplemented modules

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Atıf İçin Kopyala

Özdemir S.

Sao Paulo Journal of Mathematical Sciences, cilt.1, sa.1, ss.1-7, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 1 Sayı: 1
• 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)
• Sayfa Sayıları: ss.1-7
• 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.