Modules whose p-submodules are direct summands

KARA ŞEN Y.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.1, pp.28-33, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1611-79
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.28-33
  • Keywords: Extending module, CLS modules, pi-extending module
  • Bursa Uludag University Affiliated: Yes

Abstract

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.