id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-3045	Omar A. Abdullah; Karim Mohammadali, Haibat 	Extend Nearly Pseudo Quasi-2-Absorbing Submodules (II)	2023	13	.pdf	application/pdf	6718	357	82	Therefore [Ƒ:Ʀ Ѡ] is EXNPQ2AB ideal of Ʀ. (⟸) 𝑆uppose that [Ƒ:Ʀ Ѡ] is EXNPQ2AB ideal of Ʀ, and 𝑟𝑠𝑡𝐴 ⊆ Ƒ for 𝑟, 𝑠, 𝑡 ∈ Ʀ and 𝐴 is a submodule of Ѡ, since Ѡ is a multiplication, then 𝐴 = ƤѠ for some ideal Ƥ of Ʀ, that is 𝑟𝑠𝑡ƤѠ ⊆ Ƒ , implies that 𝑟𝑠𝑡Ƥ ⊆ [Ƒ:Ʀ Ѡ] for 𝑟, 𝑠, 𝑡 ∈ Ʀ and Ƥ is an ideal of Ʀ, then 𝑟𝑠𝑡ƤѠ ⊆ Ƒ.	cache/iajs-3045.pdf	txt/iajs-3045.txt