Modules whose exact submodules are essentially embedded in summands

Takıl Mutlu F., TERCAN A., YAŞAR R.

Quaestiones Mathematicae, cilt.45, sa.12, ss.1977-1986, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 12
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2989/16073606.2021.1982044
  • Dergi Adı: Quaestiones Mathematicae
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1977-1986
  • Anahtar Kelimeler: -module, C12-module, ES-module, exact submodule, Left exact preradical
  • Ankara Üniversitesi Adresli: Hayır

Özet

In this article we study the condition that every exact submodule is essentially embedded in direct summands in a module. It is shown that the class of modules with former property is closed under direct sums. However, we provide examples which show that this new class of modules is not closed under direct summands. Failure of the latter closure property allows us to establish results on the inheritance of our condition by direct summands.