Al-Bahir Journal for Engineering and Pure Sciences
Let R be a ring and M be a right R-module. A submodule of is said to be g-small in , if for every submodule , with implies that . Then is a g-small submodule of . We call g-coatomic module whenever and then . Also, is called right (left) g-coatomic ring if the right (left) -module (R) is g-coatomic. In this work, we study g-coatomic modules and ring. We investigate some properties of these modules. We prove is g-coatomic if and only if each is g-coatomic. It is proved that if is a g-semiperfect ring with , then is g-coatomic ring.
Alwan, Ahmed H.
Al-Bahir Journal for Engineering and Pure Sciences: Vol. 2
, Article 9.
Available at: https://doi.org/10.55810/2312-5721.1025