C11 -modules via left exact preradicals

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YAŞAR R.

Turkish Journal of Mathematics, cilt.45, sa.4, ss.1757-1766, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2101-103
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1757-1766
  • Anahtar Kelimeler: C11 -module, complement submodule, CS -module, Goldie torsion submodule, Left exact preradical
  • Ankara Üniversitesi Adresli: Hayır

Özet

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.