id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2560	Sh. Ajeel, Ali; A. Abdulla, Omar; K. Mohammadali, Haibat	Nearly Primary-2-Absorbing Submodules and other Related Concepts	2021	9	.pdf	application/pdf	5396	345	86	Ajeel Haibat K. Mohammadali omar.aldoori87@gmail.com Ali.shebl@st.tu.edu.iq H.mohammadali@tu.edu.iq Abstract Our aim in this paper is to introduce the notation of a nearly primary-2-absorbing submodule as generalization of 2-absorbing submodule where a proper submodule 𝐾 of an 𝑅- module ∁ is called nearly primary-2-absorbing submodule if whenever 𝑎𝑏𝑥 ∈ 𝐾, for 𝑎, 𝑏, ∈ 𝑅, 𝑥 ∈ ∁ implies that either 𝑎𝑥 ∈ 𝑟𝑎𝑑∁(𝐾) + 𝐽(∁) or 𝑏𝑥 ∈ 𝑟𝑎𝑑∁(𝐾) + 𝐽(∁) or 𝑎𝑏 ∈ [𝐾 + 𝐽(∁):𝑅 ∁]. Prime submodulse are among the most famous concepts of modules theory, where a proper submodule 𝐻 of an 𝑅-module ∁ is said to be a prime submodule if whenever 𝑎𝑥 ∈ 𝐻, where 𝑎 ∈ 𝑅, 𝑥 ∈ ∁ implies that either 𝑥 ∈ 𝐻 or 𝑎∁ ⊆ 𝐻[1].	cache/iajs-2560.pdf	txt/iajs-2560.txt