ON T-HOLLOW-LIFITING MODULES

Sahira M. Yaseen; Alaa A. Elewi

doi:10.24996/ijs.2019.60.11.20

Authors

Sahira M. Yaseen Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Alaa A. Elewi Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.11.20

Keywords:

T-small submodule, T-coessential submodule, T-coclosed submodule, T-hollow, T-lifiting module

Abstract

Let be an R-module, and let be a submodule of . A submodule is called -Small submodule () if for every submodule of such that implies that . In our work we give the definition of -coclosed submodule and -hollow-lifiting modules with many properties.