Belirli alt modüllerinin tümleyeni toplanan olan modüller

Abstract

In this study, the modules whose p-submodules have a complement which is a direct summand are explored. The module theoretical properties such as direct sums and summands are investigated. As opposed to direct sums, this condition does not transfer to the direct summands. Thus, it is examined that under what conditions the direct summands fulfill the property. Examples are given to demonstrate the results.