id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2290	Abdulla, Omar A.; Mohammadali, Haibat K.	Pseudo Primary-2-Absorbing Submodules and Some Related Concepts	2019	11	.pdf	application/pdf	6152	345	84	A proper submodule 𝐾 of an 𝑅-module 𝑊 is called pseudo primary-2-absorbing if whenever 𝑟𝑠𝑥 ∈ 𝐾, for 𝑟, 𝑠 ∈ 𝑅, 𝑥 ∈ 𝑊, implies that either 𝑟𝑥 ∈ 𝑊 − 𝑟𝑎𝑑(𝐾) + 𝑠𝑜𝑐(𝑊) or 𝑠𝑥 ∈ 𝑊 − 𝑟𝑎𝑑(𝐾) + 𝑠𝑜𝑐(𝑊) or 𝑟𝑠𝑊 ⊆ 𝐾 + 𝑠𝑜𝑐(𝑊). A proper submodule 𝐾 of an 𝑅-module 𝑊 is said to be a pseudo primary-2-absorbing submodule of 𝑊, if whenever 𝑟𝑠𝑥 ∈ 𝐾, for 𝑟, 𝑠 ∈ 𝑅, 𝑥 ∈ 𝑊, implies that either 𝑟𝑥 ∈ 𝑊 − 𝑟𝑎𝑑(𝐾) + 𝑠𝑜𝑐(𝑊) or 𝑠𝑥 ∈ 𝑊 − 𝑟𝑎𝑑(𝐾) + 𝑠𝑜𝑐(𝑊) or 𝑟𝑠 ∈ [𝐾 + 𝑠𝑜𝑐(𝑊):𝑅 𝑊].	cache/iajs-2290.pdf	txt/iajs-2290.txt