When some complement of an exact fully invariant submodule is a direct summand

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TERCAN A., CELEP YÜCEL C.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.17, sa.07, 2024 (ESCI)

• 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.