Module theory

A Tercan, CC Yücel - Extending Modules and Generalizations, Bassel …, 2016 - Springer
A module is extending (or CS, C1) if every complement submodule is a direct summand or,
equivalently, every submodule is essential in a direct summand. The terms extending and …

[PDF][PDF] A Survey of some generalized extending conditions.

GF Birkenmeier, A Tercan, R Yaşar - Palestine Journal of Mathematics, 2014 - pjm.ppu.edu
A module is called an extending (or CS) module if every submodule is essential in a direct
summand of the module. In this survey, we consider various generalizations of the extending …