MMN-3655

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


Vol. 23 (2022), No. 1, pp. 381-387
DOI: 10.18514/MMN.2022.3655


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