$H-\mu^{\ast}_e$-essential-supplemented modules

نویسندگان
Wadi, Adnan Saleh ID 1
Hasan, Wasan Khalid ID 2

1 Department of Mathematics, College of Science, Baghdad University, Baghdad, Iraq

2 Department of Mathematics, College of Science, Baghdad University, Baghdad, Iraq

doi
10.22075/ijnaa.2022.6535
چکیده

Let $R$ be a ring  and  $M$ be a unital left $R$-module. We define $\mu^{\ast}$-essential extension relation on the set of submodules of $M$ and investigate its properties. Moreover, we define $H$-$\mu^{\ast}$-essential-supplemented on $M$ and investigate the relations between $M$ and direct summand of its submodules.

کلیدواژه‌ها
$mu^{ast}$-essential–relation, $H-mu^{ast}$-essential–supplemented, completely $H-mu^{ast}$-essential–supplemented, $mu^{ast}$ co–essential submodule, $mu^{ast}$ co–closed submodule