C11-modules via left exact preradicals


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YAŞAR R.

TURKISH JOURNAL OF MATHEMATICS, vol.45, no.4, pp.1757-1766, 2021 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.3906/mat-2101-103
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1757-1766
  • Keywords: Left exact preradical, complement submodule, Goldie torsion submodule, CS-module, C11-module
  • Hacettepe University Affiliated: Yes

Abstract

In this article, we study modules with the condition that every image of a submodule under a left exact preradical has a complement which is a direct summand. This new class of modules properly contains the class of C11 -modules (and hence also CS-modules). Amongst other structural properties, we deal with direct sums and decompositions with respect to the left exact preradicals of this new class of modules. It is obtained a decomposition such that the image of the module itself is a direct summand for the left exact radical, which enjoys the new condition.