Projection Invariant-Extending Property on Dominant Submodules

Eroglu N., KARA ŞEN Y., TERCAN A.

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, cilt.46, sa.2, ss.173-183, 2022 (ESCI) identifier

  • 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.