Projection Invariant-Extending Property on Dominant Submodules

Eroglu N., KARA ŞEN Y., TERCAN A.

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, vol.46, no.2, pp.173-183, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 2
  • Publication Date: 2022
  • Journal Name: SOUTHEAST ASIAN BULLETIN OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.173-183
  • Keywords: Dominant submodule, Extending module, Projection invariant submodule, pi-Extending module
  • Hacettepe University Affiliated: Yes

Abstract

A well known generalization of the extending concept is projection invariant extending property. In this trend, a module is called 7r-extending if every projection invariant submodule is essential in a direct summand of the module. Based on an annihilator condition, dominant submodules are introduced in the literature. In this paper, we introduce and investigate projection invariant-extending property on dominant submodules of a module.