On NM-hollow modules

Abstract EN

This notion investigates the generalization of hollow module namely near maximal hollow module (NM-hollow module).

Any module M is NM-hollow if for every H satisfy two properties namely nearly and maximal.

Some new results have been studied and more relationships are presented.

The main result in this section is; if M is a faithful and multiplication over the ring R, then M is NM-hollow module.

Also, a direct-sum of NM-hollow module is also NM-hollow.