F-delta-SUPPLEMENTED MODULES

TÜRKMEN B. N., Eryılmaz F.

HONAM MATHEMATICAL JOURNAL, vol.42, no.2, pp.293-300, 2020 (ESCI)

  • Publication Type: Article / Article
  • Volume: 42 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.5831/hmj.2020.42.2.293
  • Journal Name: HONAM MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.293-300
  • Keywords: F-delta-small submodule (amply), F-delta-supplemented module
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this article, we define a (an amply) F-delta-supplemented module in category of R-Mod. The general properties of F-delta- supplemented modules are briefly discussed. Then, concentrating on the F-delta-small submodule, we find the necessary and sufficient condition for F-delta- supplemented modules. Also, we introduce ascending chain condition for F-delta-small submodules of any module and establish a basic theorem for amply F-delta-supplemented modules by using pi-projectivity.