Modules whose p-submodules are direct summands

KARA ŞEN Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.1, ss.28-33, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1611-79
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.28-33
  • Anahtar Kelimeler: Extending module, CLS modules, pi-extending module
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this article we deal with modules with the property that all p-submodules are direct summands. In contrast to CLS-modules, it is shown that the former property is closed under finite direct sums, but it is not inherited by direct summands. Hence we focus on when the direct summands of aforementioned modules enjoy the property. Moreover, we characterize the forenamed class of modules in terms of lifting homomorphisms.