MMN-3661

Essential g-radical supplemented modules

  • Celil Nebiyev, Ondokuz Mayis University, Department of Mathematics, Atakum, Samsun, Turkey, cnebiyev@omu.edu.tr
  • Hasan Hüseyin Ökten, Amasya University, Technical Sciences Vocational School, Amasya, Turkey, hokten@gmail.com

Abstract

Let M be an R-module. If every essential submodule of M has a g-radical supplement in M, then M is called an essential g-radical supplemented (or briefly eg-radical supplemented) module. In this work, some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of an eg-radical supplemented module are eg-radical supplemented. Let M be an eg-radical supplemented module. Then every finitely M-generated R-module is eg-radical supplemented.


Vol. 22 (2021), No. 2, pp. 799-805
DOI: 10.18514/MMN.2021.3661


Download: MMN-3661