Projection Invariant-Extending Property on Dominant Submodules
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, cilt.46, sa.2, ss.173-183, 2022 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 46 Sayı: 2
- Basım Tarihi: 2022
- Dergi Adı: SOUTHEAST ASIAN BULLETIN OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.173-183
- Anahtar Kelimeler: Dominant submodule, Extending module, Projection invariant submodule, pi-Extending module
- Hacettepe Üniversitesi Adresli: Evet
Özet
A well known generalization of the extending concept is projection invariant extending property. In this trend, a module is called 7r-extending if every projection invariant submodule is essential in a direct summand of the module. Based on an annihilator condition, dominant submodules are introduced in the literature. In this paper, we introduce and investigate projection invariant-extending property on dominant submodules of a module.