MMN-2276
Modules whose projection invariant submodules have projection invariant closures
Yeliz Kara;Abstract
We elaborate the class of PC-modules in which every projection invariant submodules have projection invariant closures in this study.
We provide examples that the class of PC-modules do not belong to the
system of generalization of extending modules. Moreover, we clarify direct
sums and direct summands properties for the former class of modules. Although
a direct summand of PC-module inherits the PC condition, the
aforementioned property is not closed under direct sums. Thereupon, we cope with when the direct sums of PC-modules enjoy with the property.
Vol. 19 (2018), No. 2, pp. 945-952