ON T-HOLLOW-LIFITING MODULES

Sahira M. Yaseen; Alaa A. Elewi

doi:10.24996/ijs.2019.60.11.20

ON T-HOLLOW-LIFITING MODULES

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.