ON WEAK PROJECTION INVARIANT EXTENDING MODULES

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KARA ŞEN Y.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.75, sa.6, ss.785-794, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 75 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.7546/crabs.2022.06.01
  • Dergi Adı: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Sayfa Sayıları: ss.785-794
  • Anahtar Kelimeler: extending module, projection invariant submodule, exchange property
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

We introduce the notion of weak pi-extending modules which is a proper generalization of pi-extending and weak CS-modules. Several characterizations and connections between weak pi-extending modules and related concepts are obtained. Direct sums and direct summand properties are also provided. Moreover, we investigate when the former class has an indecomposable decomposition and exchange properties.